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Finding the Fourth Proportional to 284.52, 392.57 and 240.17

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Solution

The fourth proportional to 284.52, 392.57 and 240.17 is: 331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.52 : 392.57 = 240.17 : x
  2. Step 2: Convert to fraction form
    284.52/392.57 = 240.17/x
  3. Step 3: Cross multiply
    284.52x = 392.57 × 240.17
  4. Step 4: Simplify right side
    284.52x = 94,283.54
  5. Step 5: Solve for x
    x = 94,283.54/284.52
  6. Step 6: Final answer
    x = 331.38

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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.