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Finding the Fourth Proportional to 167.86, 249.95 and 166.02

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Solution

The fourth proportional to 167.86, 249.95 and 166.02 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.86 : 249.95 = 166.02 : x
  2. Step 2: Convert to fraction form
    167.86/249.95 = 166.02/x
  3. Step 3: Cross multiply
    167.86x = 249.95 × 166.02
  4. Step 4: Simplify right side
    167.86x = 41,496.70
  5. Step 5: Solve for x
    x = 41,496.70/167.86
  6. Step 6: Final answer
    x = 247.21

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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.