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Finding the Fourth Proportional to 330.98, 456.20 and 232.56

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Solution

The fourth proportional to 330.98, 456.20 and 232.56 is: 320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.98 : 456.20 = 232.56 : x
  2. Step 2: Convert to fraction form
    330.98/456.20 = 232.56/x
  3. Step 3: Cross multiply
    330.98x = 456.20 × 232.56
  4. Step 4: Simplify right side
    330.98x = 106,092.71
  5. Step 5: Solve for x
    x = 106,092.71/330.98
  6. Step 6: Final answer
    x = 320.55

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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.