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Finding the Fourth Proportional to 330.88, 456.20 and 271.66

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Solution

The fourth proportional to 330.88, 456.20 and 271.66 is: 374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.88 : 456.20 = 271.66 : x
  2. Step 2: Convert to fraction form
    330.88/456.20 = 271.66/x
  3. Step 3: Cross multiply
    330.88x = 456.20 × 271.66
  4. Step 4: Simplify right side
    330.88x = 123,931.29
  5. Step 5: Solve for x
    x = 123,931.29/330.88
  6. Step 6: Final answer
    x = 374.55

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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.