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Finding the Fourth Proportional to 220.52, 330.78 and 117.78

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Solution

The fourth proportional to 220.52, 330.78 and 117.78 is: 176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.52 : 330.78 = 117.78 : x
  2. Step 2: Convert to fraction form
    220.52/330.78 = 117.78/x
  3. Step 3: Cross multiply
    220.52x = 330.78 × 117.78
  4. Step 4: Simplify right side
    220.52x = 38,959.27
  5. Step 5: Solve for x
    x = 38,959.27/220.52
  6. Step 6: Final answer
    x = 176.67

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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.