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Finding the Fourth Proportional to 460.19, 634.83 and 294.23

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Solution

The fourth proportional to 460.19, 634.83 and 294.23 is: 405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.19 : 634.83 = 294.23 : x
  2. Step 2: Convert to fraction form
    460.19/634.83 = 294.23/x
  3. Step 3: Cross multiply
    460.19x = 634.83 × 294.23
  4. Step 4: Simplify right side
    460.19x = 186,786.03
  5. Step 5: Solve for x
    x = 186,786.03/460.19
  6. Step 6: Final answer
    x = 405.89

Related Problems

Find fourth proportional to 230.10, 317.42 and 147.12
Half scale
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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.