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Finding the Fourth Proportional to 180.61, 268.97 and 169.36

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Solution

The fourth proportional to 180.61, 268.97 and 169.36 is: 252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.61 : 268.97 = 169.36 : x
  2. Step 2: Convert to fraction form
    180.61/268.97 = 169.36/x
  3. Step 3: Cross multiply
    180.61x = 268.97 × 169.36
  4. Step 4: Simplify right side
    180.61x = 45,552.76
  5. Step 5: Solve for x
    x = 45,552.76/180.61
  6. Step 6: Final answer
    x = 252.22

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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.