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Finding the Fourth Proportional to 331.59, 457.20 and 284.88

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Solution

The fourth proportional to 331.59, 457.20 and 284.88 is: 392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.59 : 457.20 = 284.88 : x
  2. Step 2: Convert to fraction form
    331.59/457.20 = 284.88/x
  3. Step 3: Cross multiply
    331.59x = 457.20 × 284.88
  4. Step 4: Simplify right side
    331.59x = 130,247.14
  5. Step 5: Solve for x
    x = 130,247.14/331.59
  6. Step 6: Final answer
    x = 392.80

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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.