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Finding the Fourth Proportional to 331.17, 457.05 and 284.70

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Solution

The fourth proportional to 331.17, 457.05 and 284.70 is: 392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.17 : 457.05 = 284.70 : x
  2. Step 2: Convert to fraction form
    331.17/457.05 = 284.70/x
  3. Step 3: Cross multiply
    331.17x = 457.05 × 284.70
  4. Step 4: Simplify right side
    331.17x = 130,122.14
  5. Step 5: Solve for x
    x = 130,122.14/331.17
  6. Step 6: Final answer
    x = 392.92

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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.