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Finding the Fourth Proportional to 169.39, 232.38 and 160.08

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Solution

The fourth proportional to 169.39, 232.38 and 160.08 is: 219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.39 : 232.38 = 160.08 : x
  2. Step 2: Convert to fraction form
    169.39/232.38 = 160.08/x
  3. Step 3: Cross multiply
    169.39x = 232.38 × 160.08
  4. Step 4: Simplify right side
    169.39x = 37,199.39
  5. Step 5: Solve for x
    x = 37,199.39/169.39
  6. Step 6: Final answer
    x = 219.61

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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.