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Finding the Fourth Proportional to 257.96, 387.28 and 166.84

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Solution

The fourth proportional to 257.96, 387.28 and 166.84 is: 250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.96 : 387.28 = 166.84 : x
  2. Step 2: Convert to fraction form
    257.96/387.28 = 166.84/x
  3. Step 3: Cross multiply
    257.96x = 387.28 × 166.84
  4. Step 4: Simplify right side
    257.96x = 64,613.80
  5. Step 5: Solve for x
    x = 64,613.80/257.96
  6. Step 6: Final answer
    x = 250.48

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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.