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Finding the Fourth Proportional to 166.52, 249.72 and 50.93

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Solution

The fourth proportional to 166.52, 249.72 and 50.93 is: 76.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.52 : 249.72 = 50.93 : x
  2. Step 2: Convert to fraction form
    166.52/249.72 = 50.93/x
  3. Step 3: Cross multiply
    166.52x = 249.72 × 50.93
  4. Step 4: Simplify right side
    166.52x = 12,718.24
  5. Step 5: Solve for x
    x = 12,718.24/166.52
  6. Step 6: Final answer
    x = 76.38

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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.