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Finding the Fourth Proportional to 168.52, 253.99 and 144.76

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Solution

The fourth proportional to 168.52, 253.99 and 144.76 is: 218.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.52 : 253.99 = 144.76 : x
  2. Step 2: Convert to fraction form
    168.52/253.99 = 144.76/x
  3. Step 3: Cross multiply
    168.52x = 253.99 × 144.76
  4. Step 4: Simplify right side
    168.52x = 36,767.59
  5. Step 5: Solve for x
    x = 36,767.59/168.52
  6. Step 6: Final answer
    x = 218.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.