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Finding the Fourth Proportional to 169.53, 252.51 and 161.63

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Solution

The fourth proportional to 169.53, 252.51 and 161.63 is: 240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.53 : 252.51 = 161.63 : x
  2. Step 2: Convert to fraction form
    169.53/252.51 = 161.63/x
  3. Step 3: Cross multiply
    169.53x = 252.51 × 161.63
  4. Step 4: Simplify right side
    169.53x = 40,813.19
  5. Step 5: Solve for x
    x = 40,813.19/169.53
  6. Step 6: Final answer
    x = 240.74

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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.