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Finding the Fourth Proportional to 100.40, 137.44 and 99.72

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Solution

The fourth proportional to 100.40, 137.44 and 99.72 is: 136.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.40 : 137.44 = 99.72 : x
  2. Step 2: Convert to fraction form
    100.40/137.44 = 99.72/x
  3. Step 3: Cross multiply
    100.40x = 137.44 × 99.72
  4. Step 4: Simplify right side
    100.40x = 13,705.52
  5. Step 5: Solve for x
    x = 13,705.52/100.40
  6. Step 6: Final answer
    x = 136.52

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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.