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Finding the Fourth Proportional to 169.42, 232.25 and 166.48

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Solution

The fourth proportional to 169.42, 232.25 and 166.48 is: 228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.42 : 232.25 = 166.48 : x
  2. Step 2: Convert to fraction form
    169.42/232.25 = 166.48/x
  3. Step 3: Cross multiply
    169.42x = 232.25 × 166.48
  4. Step 4: Simplify right side
    169.42x = 38,664.98
  5. Step 5: Solve for x
    x = 38,664.98/169.42
  6. Step 6: Final answer
    x = 228.22

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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.