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Finding the Fourth Proportional to 100.26, 137.72 and 98.91

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Solution

The fourth proportional to 100.26, 137.72 and 98.91 is: 135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.26 : 137.72 = 98.91 : x
  2. Step 2: Convert to fraction form
    100.26/137.72 = 98.91/x
  3. Step 3: Cross multiply
    100.26x = 137.72 × 98.91
  4. Step 4: Simplify right side
    100.26x = 13,622.13
  5. Step 5: Solve for x
    x = 13,622.13/100.26
  6. Step 6: Final answer
    x = 135.87

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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.