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Finding the Fourth Proportional to 99.54, 138.31 and 98.24

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Solution

The fourth proportional to 99.54, 138.31 and 98.24 is: 136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.54 : 138.31 = 98.24 : x
  2. Step 2: Convert to fraction form
    99.54/138.31 = 98.24/x
  3. Step 3: Cross multiply
    99.54x = 138.31 × 98.24
  4. Step 4: Simplify right side
    99.54x = 13,586.64
  5. Step 5: Solve for x
    x = 13,586.64/99.54
  6. Step 6: Final answer
    x = 136.49

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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.