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Finding the Fourth Proportional to 157.57, 217.44 and 95.41

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Solution

The fourth proportional to 157.57, 217.44 and 95.41 is: 131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.57 : 217.44 = 95.41 : x
  2. Step 2: Convert to fraction form
    157.57/217.44 = 95.41/x
  3. Step 3: Cross multiply
    157.57x = 217.44 × 95.41
  4. Step 4: Simplify right side
    157.57x = 20,745.95
  5. Step 5: Solve for x
    x = 20,745.95/157.57
  6. Step 6: Final answer
    x = 131.66

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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.