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Finding the Fourth Proportional to 331.98, 497.54 and 185.78

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Solution

The fourth proportional to 331.98, 497.54 and 185.78 is: 278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.98 : 497.54 = 185.78 : x
  2. Step 2: Convert to fraction form
    331.98/497.54 = 185.78/x
  3. Step 3: Cross multiply
    331.98x = 497.54 × 185.78
  4. Step 4: Simplify right side
    331.98x = 92,432.98
  5. Step 5: Solve for x
    x = 92,432.98/331.98
  6. Step 6: Final answer
    x = 278.43

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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.