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Finding the Fourth Proportional to 212.83, 318.74 and 180.43

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Solution

The fourth proportional to 212.83, 318.74 and 180.43 is: 270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.83 : 318.74 = 180.43 : x
  2. Step 2: Convert to fraction form
    212.83/318.74 = 180.43/x
  3. Step 3: Cross multiply
    212.83x = 318.74 × 180.43
  4. Step 4: Simplify right side
    212.83x = 57,508.56
  5. Step 5: Solve for x
    x = 57,508.56/212.83
  6. Step 6: Final answer
    x = 270.21

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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.