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Finding the Fourth Proportional to 169.74, 231.30 and 165.78

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Solution

The fourth proportional to 169.74, 231.30 and 165.78 is: 225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.74 : 231.30 = 165.78 : x
  2. Step 2: Convert to fraction form
    169.74/231.30 = 165.78/x
  3. Step 3: Cross multiply
    169.74x = 231.30 × 165.78
  4. Step 4: Simplify right side
    169.74x = 38,344.91
  5. Step 5: Solve for x
    x = 38,344.91/169.74
  6. Step 6: Final answer
    x = 225.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.