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Finding the Fourth Proportional to 169.49, 232.38 and 169.22

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Solution

The fourth proportional to 169.49, 232.38 and 169.22 is: 232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.49 : 232.38 = 169.22 : x
  2. Step 2: Convert to fraction form
    169.49/232.38 = 169.22/x
  3. Step 3: Cross multiply
    169.49x = 232.38 × 169.22
  4. Step 4: Simplify right side
    169.49x = 39,323.34
  5. Step 5: Solve for x
    x = 39,323.34/169.49
  6. Step 6: Final answer
    x = 232.01

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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.