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Finding the Fourth Proportional to 169.35, 232.30 and 159.43

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Solution

The fourth proportional to 169.35, 232.30 and 159.43 is: 218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.35 : 232.30 = 159.43 : x
  2. Step 2: Convert to fraction form
    169.35/232.30 = 159.43/x
  3. Step 3: Cross multiply
    169.35x = 232.30 × 159.43
  4. Step 4: Simplify right side
    169.35x = 37,035.59
  5. Step 5: Solve for x
    x = 37,035.59/169.35
  6. Step 6: Final answer
    x = 218.69

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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.