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Finding the Fourth Proportional to 417.19, 575.72 and 230.69

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Solution

The fourth proportional to 417.19, 575.72 and 230.69 is: 318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.19 : 575.72 = 230.69 : x
  2. Step 2: Convert to fraction form
    417.19/575.72 = 230.69/x
  3. Step 3: Cross multiply
    417.19x = 575.72 × 230.69
  4. Step 4: Simplify right side
    417.19x = 132,812.85
  5. Step 5: Solve for x
    x = 132,812.85/417.19
  6. Step 6: Final answer
    x = 318.35

Related Problems

Find fourth proportional to 208.60, 287.86 and 115.35
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Double scale
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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.