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Finding the Fourth Proportional to 104.92, 158.20 and 91.55

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Solution

The fourth proportional to 104.92, 158.20 and 91.55 is: 138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.92 : 158.20 = 91.55 : x
  2. Step 2: Convert to fraction form
    104.92/158.20 = 91.55/x
  3. Step 3: Cross multiply
    104.92x = 158.20 × 91.55
  4. Step 4: Simplify right side
    104.92x = 14,483.38
  5. Step 5: Solve for x
    x = 14,483.38/104.92
  6. Step 6: Final answer
    x = 138.05

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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.