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Finding the Fourth Proportional to 123.42, 169.31 and 120.22

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Solution

The fourth proportional to 123.42, 169.31 and 120.22 is: 164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.42 : 169.31 = 120.22 : x
  2. Step 2: Convert to fraction form
    123.42/169.31 = 120.22/x
  3. Step 3: Cross multiply
    123.42x = 169.31 × 120.22
  4. Step 4: Simplify right side
    123.42x = 20,354.45
  5. Step 5: Solve for x
    x = 20,354.45/123.42
  6. Step 6: Final answer
    x = 164.92

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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.