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Finding the Fourth Proportional to 150.09, 206.62 and 129.25

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Solution

The fourth proportional to 150.09, 206.62 and 129.25 is: 177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.09 : 206.62 = 129.25 : x
  2. Step 2: Convert to fraction form
    150.09/206.62 = 129.25/x
  3. Step 3: Cross multiply
    150.09x = 206.62 × 129.25
  4. Step 4: Simplify right side
    150.09x = 26,705.57
  5. Step 5: Solve for x
    x = 26,705.57/150.09
  6. Step 6: Final answer
    x = 177.93

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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.