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Finding the Fourth Proportional to 100.46, 149.86 and 91.34

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Solution

The fourth proportional to 100.46, 149.86 and 91.34 is: 136.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.46 : 149.86 = 91.34 : x
  2. Step 2: Convert to fraction form
    100.46/149.86 = 91.34/x
  3. Step 3: Cross multiply
    100.46x = 149.86 × 91.34
  4. Step 4: Simplify right side
    100.46x = 13,688.21
  5. Step 5: Solve for x
    x = 13,688.21/100.46
  6. Step 6: Final answer
    x = 136.26

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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.