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Finding the Fourth Proportional to 169.29, 233.42 and 120.15

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Solution

The fourth proportional to 169.29, 233.42 and 120.15 is: 165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.29 : 233.42 = 120.15 : x
  2. Step 2: Convert to fraction form
    169.29/233.42 = 120.15/x
  3. Step 3: Cross multiply
    169.29x = 233.42 × 120.15
  4. Step 4: Simplify right side
    169.29x = 28,044.81
  5. Step 5: Solve for x
    x = 28,044.81/169.29
  6. Step 6: Final answer
    x = 165.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.