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Finding the Fourth Proportional to 179.78, 270.19 and 88.54

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Solution

The fourth proportional to 179.78, 270.19 and 88.54 is: 133.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.78 : 270.19 = 88.54 : x
  2. Step 2: Convert to fraction form
    179.78/270.19 = 88.54/x
  3. Step 3: Cross multiply
    179.78x = 270.19 × 88.54
  4. Step 4: Simplify right side
    179.78x = 23,922.86
  5. Step 5: Solve for x
    x = 23,922.86/179.78
  6. Step 6: Final answer
    x = 133.07

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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.