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Finding the Fourth Proportional to 167.81, 249.95 and 165.71

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Solution

The fourth proportional to 167.81, 249.95 and 165.71 is: 246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.81 : 249.95 = 165.71 : x
  2. Step 2: Convert to fraction form
    167.81/249.95 = 165.71/x
  3. Step 3: Cross multiply
    167.81x = 249.95 × 165.71
  4. Step 4: Simplify right side
    167.81x = 41,417.76
  5. Step 5: Solve for x
    x = 41,417.76/167.81
  6. Step 6: Final answer
    x = 246.82

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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.