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Finding the Fourth Proportional to 456.19, 629.53 and 259.69

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Solution

The fourth proportional to 456.19, 629.53 and 259.69 is: 358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.19 : 629.53 = 259.69 : x
  2. Step 2: Convert to fraction form
    456.19/629.53 = 259.69/x
  3. Step 3: Cross multiply
    456.19x = 629.53 × 259.69
  4. Step 4: Simplify right side
    456.19x = 163,482.65
  5. Step 5: Solve for x
    x = 163,482.65/456.19
  6. Step 6: Final answer
    x = 358.37

Related Problems

Find fourth proportional to 228.10, 314.77 and 129.85
Half scale
Find fourth proportional to 912.38, 1,259.06 and 519.38
Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.