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Finding the Fourth Proportional to 150.20, 207.42 and 98.60

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Solution

The fourth proportional to 150.20, 207.42 and 98.60 is: 136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.20 : 207.42 = 98.60 : x
  2. Step 2: Convert to fraction form
    150.20/207.42 = 98.60/x
  3. Step 3: Cross multiply
    150.20x = 207.42 × 98.60
  4. Step 4: Simplify right side
    150.20x = 20,451.61
  5. Step 5: Solve for x
    x = 20,451.61/150.20
  6. Step 6: Final answer
    x = 136.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.