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Finding the Fourth Proportional to 257.18, 354.85 and 157.57

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Solution

The fourth proportional to 257.18, 354.85 and 157.57 is: 217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.18 : 354.85 = 157.57 : x
  2. Step 2: Convert to fraction form
    257.18/354.85 = 157.57/x
  3. Step 3: Cross multiply
    257.18x = 354.85 × 157.57
  4. Step 4: Simplify right side
    257.18x = 55,912.43
  5. Step 5: Solve for x
    x = 55,912.43/257.18
  6. Step 6: Final answer
    x = 217.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.