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Finding the Fourth Proportional to 331.38, 497.35 and 158.16

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Solution

The fourth proportional to 331.38, 497.35 and 158.16 is: 237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.38 : 497.35 = 158.16 : x
  2. Step 2: Convert to fraction form
    331.38/497.35 = 158.16/x
  3. Step 3: Cross multiply
    331.38x = 497.35 × 158.16
  4. Step 4: Simplify right side
    331.38x = 78,662.94
  5. Step 5: Solve for x
    x = 78,662.94/331.38
  6. Step 6: Final answer
    x = 237.38

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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.