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Finding the Fourth Proportional to 100.50, 149.97 and 91.41

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Solution

The fourth proportional to 100.50, 149.97 and 91.41 is: 136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.50 : 149.97 = 91.41 : x
  2. Step 2: Convert to fraction form
    100.50/149.97 = 91.41/x
  3. Step 3: Cross multiply
    100.50x = 149.97 × 91.41
  4. Step 4: Simplify right side
    100.50x = 13,708.41
  5. Step 5: Solve for x
    x = 13,708.41/100.50
  6. Step 6: Final answer
    x = 136.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.