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Finding the Fourth Proportional to 169.39, 232.51 and 150.56

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Solution

The fourth proportional to 169.39, 232.51 and 150.56 is: 206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.39 : 232.51 = 150.56 : x
  2. Step 2: Convert to fraction form
    169.39/232.51 = 150.56/x
  3. Step 3: Cross multiply
    169.39x = 232.51 × 150.56
  4. Step 4: Simplify right side
    169.39x = 35,006.71
  5. Step 5: Solve for x
    x = 35,006.71/169.39
  6. Step 6: Final answer
    x = 206.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.