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Finding the Fourth Proportional to 331.80, 458.08 and 207.52

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Solution

The fourth proportional to 331.80, 458.08 and 207.52 is: 286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.80 : 458.08 = 207.52 : x
  2. Step 2: Convert to fraction form
    331.80/458.08 = 207.52/x
  3. Step 3: Cross multiply
    331.80x = 458.08 × 207.52
  4. Step 4: Simplify right side
    331.80x = 95,060.76
  5. Step 5: Solve for x
    x = 95,060.76/331.80
  6. Step 6: Final answer
    x = 286.50

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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.