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Finding the Fourth Proportional to 414.77, 572.02 and 296.52

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Solution

The fourth proportional to 414.77, 572.02 and 296.52 is: 408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.77 : 572.02 = 296.52 : x
  2. Step 2: Convert to fraction form
    414.77/572.02 = 296.52/x
  3. Step 3: Cross multiply
    414.77x = 572.02 × 296.52
  4. Step 4: Simplify right side
    414.77x = 169,614.63
  5. Step 5: Solve for x
    x = 169,614.63/414.77
  6. Step 6: Final answer
    x = 408.94

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Find fourth proportional to 207.38, 286.01 and 148.26
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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.