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Finding the Fourth Proportional to 100.62, 149.96 and 100.17

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Solution

The fourth proportional to 100.62, 149.96 and 100.17 is: 149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.62 : 149.96 = 100.17 : x
  2. Step 2: Convert to fraction form
    100.62/149.96 = 100.17/x
  3. Step 3: Cross multiply
    100.62x = 149.96 × 100.17
  4. Step 4: Simplify right side
    100.62x = 15,020.99
  5. Step 5: Solve for x
    x = 15,020.99/100.62
  6. Step 6: Final answer
    x = 149.28

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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.