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Finding the Fourth Proportional to 166.37, 249.62 and 152.92

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Solution

The fourth proportional to 166.37, 249.62 and 152.92 is: 229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.37 : 249.62 = 152.92 : x
  2. Step 2: Convert to fraction form
    166.37/249.62 = 152.92/x
  3. Step 3: Cross multiply
    166.37x = 249.62 × 152.92
  4. Step 4: Simplify right side
    166.37x = 38,171.65
  5. Step 5: Solve for x
    x = 38,171.65/166.37
  6. Step 6: Final answer
    x = 229.43

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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.