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Finding the Fourth Proportional to 257.80, 385.94 and 166.23

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Solution

The fourth proportional to 257.80, 385.94 and 166.23 is: 248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.80 : 385.94 = 166.23 : x
  2. Step 2: Convert to fraction form
    257.80/385.94 = 166.23/x
  3. Step 3: Cross multiply
    257.80x = 385.94 × 166.23
  4. Step 4: Simplify right side
    257.80x = 64,154.81
  5. Step 5: Solve for x
    x = 64,154.81/257.80
  6. Step 6: Final answer
    x = 248.85

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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.