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Finding the Fourth Proportional to 414.94, 572.55 and 240.25

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Solution

The fourth proportional to 414.94, 572.55 and 240.25 is: 331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.94 : 572.55 = 240.25 : x
  2. Step 2: Convert to fraction form
    414.94/572.55 = 240.25/x
  3. Step 3: Cross multiply
    414.94x = 572.55 × 240.25
  4. Step 4: Simplify right side
    414.94x = 137,555.14
  5. Step 5: Solve for x
    x = 137,555.14/414.94
  6. Step 6: Final answer
    x = 331.51

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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.