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Finding the Fourth Proportional to 99.42, 137.43 and 98.49

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Solution

The fourth proportional to 99.42, 137.43 and 98.49 is: 136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.42 : 137.43 = 98.49 : x
  2. Step 2: Convert to fraction form
    99.42/137.43 = 98.49/x
  3. Step 3: Cross multiply
    99.42x = 137.43 × 98.49
  4. Step 4: Simplify right side
    99.42x = 13,535.48
  5. Step 5: Solve for x
    x = 13,535.48/99.42
  6. Step 6: Final answer
    x = 136.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.