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Finding the Fourth Proportional to 168.64, 251.84 and 147.04

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Solution

The fourth proportional to 168.64, 251.84 and 147.04 is: 219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.64 : 251.84 = 147.04 : x
  2. Step 2: Convert to fraction form
    168.64/251.84 = 147.04/x
  3. Step 3: Cross multiply
    168.64x = 251.84 × 147.04
  4. Step 4: Simplify right side
    168.64x = 37,030.55
  5. Step 5: Solve for x
    x = 37,030.55/168.64
  6. Step 6: Final answer
    x = 219.58

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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.