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Finding the Fourth Proportional to 168.61, 253.08 and 86.41

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Solution

The fourth proportional to 168.61, 253.08 and 86.41 is: 129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.61 : 253.08 = 86.41 : x
  2. Step 2: Convert to fraction form
    168.61/253.08 = 86.41/x
  3. Step 3: Cross multiply
    168.61x = 253.08 × 86.41
  4. Step 4: Simplify right side
    168.61x = 21,868.64
  5. Step 5: Solve for x
    x = 21,868.64/168.61
  6. Step 6: Final answer
    x = 129.70

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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.