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Finding the Fourth Proportional to 168.53, 251.02 and 160.63

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Solution

The fourth proportional to 168.53, 251.02 and 160.63 is: 239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.53 : 251.02 = 160.63 : x
  2. Step 2: Convert to fraction form
    168.53/251.02 = 160.63/x
  3. Step 3: Cross multiply
    168.53x = 251.02 × 160.63
  4. Step 4: Simplify right side
    168.53x = 40,319.49
  5. Step 5: Solve for x
    x = 40,319.49/168.53
  6. Step 6: Final answer
    x = 239.25

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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.