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Finding the Fourth Proportional to 161.92, 243.85 and 131.53

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Solution

The fourth proportional to 161.92, 243.85 and 131.53 is: 198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.92 : 243.85 = 131.53 : x
  2. Step 2: Convert to fraction form
    161.92/243.85 = 131.53/x
  3. Step 3: Cross multiply
    161.92x = 243.85 × 131.53
  4. Step 4: Simplify right side
    161.92x = 32,073.59
  5. Step 5: Solve for x
    x = 32,073.59/161.92
  6. Step 6: Final answer
    x = 198.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.