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Finding the Fourth Proportional to 168.72, 253.26 and 91.86

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Solution

The fourth proportional to 168.72, 253.26 and 91.86 is: 137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.72 : 253.26 = 91.86 : x
  2. Step 2: Convert to fraction form
    168.72/253.26 = 91.86/x
  3. Step 3: Cross multiply
    168.72x = 253.26 × 91.86
  4. Step 4: Simplify right side
    168.72x = 23,264.46
  5. Step 5: Solve for x
    x = 23,264.46/168.72
  6. Step 6: Final answer
    x = 137.89

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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.