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Finding the Fourth Proportional to 100.32, 149.63 and 91.48

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Solution

The fourth proportional to 100.32, 149.63 and 91.48 is: 136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.32 : 149.63 = 91.48 : x
  2. Step 2: Convert to fraction form
    100.32/149.63 = 91.48/x
  3. Step 3: Cross multiply
    100.32x = 149.63 × 91.48
  4. Step 4: Simplify right side
    100.32x = 13,688.01
  5. Step 5: Solve for x
    x = 13,688.01/100.32
  6. Step 6: Final answer
    x = 136.44

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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.