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Finding the Fourth Proportional to 157.78, 236.49 and 96.73

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Solution

The fourth proportional to 157.78, 236.49 and 96.73 is: 144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.78 : 236.49 = 96.73 : x
  2. Step 2: Convert to fraction form
    157.78/236.49 = 96.73/x
  3. Step 3: Cross multiply
    157.78x = 236.49 × 96.73
  4. Step 4: Simplify right side
    157.78x = 22,874.72
  5. Step 5: Solve for x
    x = 22,874.72/157.78
  6. Step 6: Final answer
    x = 144.98

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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.