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Finding the Fourth Proportional to 212.44, 318.78 and 180.52

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Solution

The fourth proportional to 212.44, 318.78 and 180.52 is: 270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.44 : 318.78 = 180.52 : x
  2. Step 2: Convert to fraction form
    212.44/318.78 = 180.52/x
  3. Step 3: Cross multiply
    212.44x = 318.78 × 180.52
  4. Step 4: Simplify right side
    212.44x = 57,546.17
  5. Step 5: Solve for x
    x = 57,546.17/212.44
  6. Step 6: Final answer
    x = 270.88

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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.