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Finding the Fourth Proportional to 331.42, 497.81 and 254.12

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Solution

The fourth proportional to 331.42, 497.81 and 254.12 is: 381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.42 : 497.81 = 254.12 : x
  2. Step 2: Convert to fraction form
    331.42/497.81 = 254.12/x
  3. Step 3: Cross multiply
    331.42x = 497.81 × 254.12
  4. Step 4: Simplify right side
    331.42x = 126,503.48
  5. Step 5: Solve for x
    x = 126,503.48/331.42
  6. Step 6: Final answer
    x = 381.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.