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Finding the Fourth Proportional to 414.68, 572.25 and 240

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Solution

The fourth proportional to 414.68, 572.25 and 240 is: 331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 572.25 = 240 : x
  2. Step 2: Convert to fraction form
    414.68/572.25 = 240/x
  3. Step 3: Cross multiply
    414.68x = 572.25 × 240
  4. Step 4: Simplify right side
    414.68x = 137,340
  5. Step 5: Solve for x
    x = 137,340/414.68
  6. Step 6: Final answer
    x = 331.20

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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.