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Finding the Fourth Proportional to 100.32, 149.75 and 91.77

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Solution

The fourth proportional to 100.32, 149.75 and 91.77 is: 136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.32 : 149.75 = 91.77 : x
  2. Step 2: Convert to fraction form
    100.32/149.75 = 91.77/x
  3. Step 3: Cross multiply
    100.32x = 149.75 × 91.77
  4. Step 4: Simplify right side
    100.32x = 13,742.10
  5. Step 5: Solve for x
    x = 13,742.10/100.32
  6. Step 6: Final answer
    x = 136.98

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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.