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Finding the Fourth Proportional to 99.72, 149.36 and 80.50

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Solution

The fourth proportional to 99.72, 149.36 and 80.50 is: 120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.72 : 149.36 = 80.50 : x
  2. Step 2: Convert to fraction form
    99.72/149.36 = 80.50/x
  3. Step 3: Cross multiply
    99.72x = 149.36 × 80.50
  4. Step 4: Simplify right side
    99.72x = 12,023.48
  5. Step 5: Solve for x
    x = 12,023.48/99.72
  6. Step 6: Final answer
    x = 120.57

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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.