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Finding the Fourth Proportional to 157.78, 217.78 and 95.61

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Solution

The fourth proportional to 157.78, 217.78 and 95.61 is: 131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.78 : 217.78 = 95.61 : x
  2. Step 2: Convert to fraction form
    157.78/217.78 = 95.61/x
  3. Step 3: Cross multiply
    157.78x = 217.78 × 95.61
  4. Step 4: Simplify right side
    157.78x = 20,822.79
  5. Step 5: Solve for x
    x = 20,822.79/157.78
  6. Step 6: Final answer
    x = 131.97

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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.