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Finding the Fourth Proportional to 331.46, 497.17 and 187.48

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Solution

The fourth proportional to 331.46, 497.17 and 187.48 is: 281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.46 : 497.17 = 187.48 : x
  2. Step 2: Convert to fraction form
    331.46/497.17 = 187.48/x
  3. Step 3: Cross multiply
    331.46x = 497.17 × 187.48
  4. Step 4: Simplify right side
    331.46x = 93,210.29
  5. Step 5: Solve for x
    x = 93,210.29/331.46
  6. Step 6: Final answer
    x = 281.21

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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.