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Finding the Fourth Proportional to 331.72, 497.10 and 187.14

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Solution

The fourth proportional to 331.72, 497.10 and 187.14 is: 280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.72 : 497.10 = 187.14 : x
  2. Step 2: Convert to fraction form
    331.72/497.10 = 187.14/x
  3. Step 3: Cross multiply
    331.72x = 497.10 × 187.14
  4. Step 4: Simplify right side
    331.72x = 93,027.29
  5. Step 5: Solve for x
    x = 93,027.29/331.72
  6. Step 6: Final answer
    x = 280.44

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