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Finding the Fourth Proportional to 330.38, 497.54 and 249.80

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Solution

The fourth proportional to 330.38, 497.54 and 249.80 is: 376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.38 : 497.54 = 249.80 : x
  2. Step 2: Convert to fraction form
    330.38/497.54 = 249.80/x
  3. Step 3: Cross multiply
    330.38x = 497.54 × 249.80
  4. Step 4: Simplify right side
    330.38x = 124,285.49
  5. Step 5: Solve for x
    x = 124,285.49/330.38
  6. Step 6: Final answer
    x = 376.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.