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Finding the Fourth Proportional to 100.85, 138.26 and 99.02

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Solution

The fourth proportional to 100.85, 138.26 and 99.02 is: 135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.85 : 138.26 = 99.02 : x
  2. Step 2: Convert to fraction form
    100.85/138.26 = 99.02/x
  3. Step 3: Cross multiply
    100.85x = 138.26 × 99.02
  4. Step 4: Simplify right side
    100.85x = 13,690.54
  5. Step 5: Solve for x
    x = 13,690.54/100.85
  6. Step 6: Final answer
    x = 135.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.