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Finding the Fourth Proportional to 150.27, 206.84 and 129.61

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Solution

The fourth proportional to 150.27, 206.84 and 129.61 is: 178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.27 : 206.84 = 129.61 : x
  2. Step 2: Convert to fraction form
    150.27/206.84 = 129.61/x
  3. Step 3: Cross multiply
    150.27x = 206.84 × 129.61
  4. Step 4: Simplify right side
    150.27x = 26,808.53
  5. Step 5: Solve for x
    x = 26,808.53/150.27
  6. Step 6: Final answer
    x = 178.41

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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.