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Finding the Fourth Proportional to 220.78, 331.07 and 118.05

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Solution

The fourth proportional to 220.78, 331.07 and 118.05 is: 177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.78 : 331.07 = 118.05 : x
  2. Step 2: Convert to fraction form
    220.78/331.07 = 118.05/x
  3. Step 3: Cross multiply
    220.78x = 331.07 × 118.05
  4. Step 4: Simplify right side
    220.78x = 39,082.81
  5. Step 5: Solve for x
    x = 39,082.81/220.78
  6. Step 6: Final answer
    x = 177.02

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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.