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Finding the Fourth Proportional to 157.61, 217.60 and 95.47

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Solution

The fourth proportional to 157.61, 217.60 and 95.47 is: 131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.61 : 217.60 = 95.47 : x
  2. Step 2: Convert to fraction form
    157.61/217.60 = 95.47/x
  3. Step 3: Cross multiply
    157.61x = 217.60 × 95.47
  4. Step 4: Simplify right side
    157.61x = 20,773.49
  5. Step 5: Solve for x
    x = 20,773.49/157.61
  6. Step 6: Final answer
    x = 131.80

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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.