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Finding the Fourth Proportional to 168.84, 251.46 and 159.48

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Solution

The fourth proportional to 168.84, 251.46 and 159.48 is: 237.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.84 : 251.46 = 159.48 : x
  2. Step 2: Convert to fraction form
    168.84/251.46 = 159.48/x
  3. Step 3: Cross multiply
    168.84x = 251.46 × 159.48
  4. Step 4: Simplify right side
    168.84x = 40,102.84
  5. Step 5: Solve for x
    x = 40,102.84/168.84
  6. Step 6: Final answer
    x = 237.52

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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.