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Finding the Fourth Proportional to 168.02, 251.53 and 110.13

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Solution

The fourth proportional to 168.02, 251.53 and 110.13 is: 164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.02 : 251.53 = 110.13 : x
  2. Step 2: Convert to fraction form
    168.02/251.53 = 110.13/x
  3. Step 3: Cross multiply
    168.02x = 251.53 × 110.13
  4. Step 4: Simplify right side
    168.02x = 27,702.21
  5. Step 5: Solve for x
    x = 27,702.21/168.02
  6. Step 6: Final answer
    x = 164.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.