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Finding the Fourth Proportional to 414.68, 572.10 and 296.66

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Solution

The fourth proportional to 414.68, 572.10 and 296.66 is: 409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 572.10 = 296.66 : x
  2. Step 2: Convert to fraction form
    414.68/572.10 = 296.66/x
  3. Step 3: Cross multiply
    414.68x = 572.10 × 296.66
  4. Step 4: Simplify right side
    414.68x = 169,719.19
  5. Step 5: Solve for x
    x = 169,719.19/414.68
  6. Step 6: Final answer
    x = 409.28

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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.