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Finding the Fourth Proportional to 99.50, 138.06 and 95.44

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Solution

The fourth proportional to 99.50, 138.06 and 95.44 is: 132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.50 : 138.06 = 95.44 : x
  2. Step 2: Convert to fraction form
    99.50/138.06 = 95.44/x
  3. Step 3: Cross multiply
    99.50x = 138.06 × 95.44
  4. Step 4: Simplify right side
    99.50x = 13,176.45
  5. Step 5: Solve for x
    x = 13,176.45/99.50
  6. Step 6: Final answer
    x = 132.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.