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Finding the Fourth Proportional to 100.25, 151.07 and 90.62

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Solution

The fourth proportional to 100.25, 151.07 and 90.62 is: 136.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.25 : 151.07 = 90.62 : x
  2. Step 2: Convert to fraction form
    100.25/151.07 = 90.62/x
  3. Step 3: Cross multiply
    100.25x = 151.07 × 90.62
  4. Step 4: Simplify right side
    100.25x = 13,689.89
  5. Step 5: Solve for x
    x = 13,689.89/100.25
  6. Step 6: Final answer
    x = 136.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.