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Finding the Fourth Proportional to 169.24, 232.55 and 138.08

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Solution

The fourth proportional to 169.24, 232.55 and 138.08 is: 189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.24 : 232.55 = 138.08 : x
  2. Step 2: Convert to fraction form
    169.24/232.55 = 138.08/x
  3. Step 3: Cross multiply
    169.24x = 232.55 × 138.08
  4. Step 4: Simplify right side
    169.24x = 32,110.50
  5. Step 5: Solve for x
    x = 32,110.50/169.24
  6. Step 6: Final answer
    x = 189.73

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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.