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Finding the Fourth Proportional to 169.03, 251.76 and 161.13

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Solution

The fourth proportional to 169.03, 251.76 and 161.13 is: 239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.03 : 251.76 = 161.13 : x
  2. Step 2: Convert to fraction form
    169.03/251.76 = 161.13/x
  3. Step 3: Cross multiply
    169.03x = 251.76 × 161.13
  4. Step 4: Simplify right side
    169.03x = 40,564.83
  5. Step 5: Solve for x
    x = 40,564.83/169.03
  6. Step 6: Final answer
    x = 239.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.