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Finding the Fourth Proportional to 212.20, 316.46 and 184.92

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Solution

The fourth proportional to 212.20, 316.46 and 184.92 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.20 : 316.46 = 184.92 : x
  2. Step 2: Convert to fraction form
    212.20/316.46 = 184.92/x
  3. Step 3: Cross multiply
    212.20x = 316.46 × 184.92
  4. Step 4: Simplify right side
    212.20x = 58,519.78
  5. Step 5: Solve for x
    x = 58,519.78/212.20
  6. Step 6: Final answer
    x = 275.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.