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Finding the Fourth Proportional to 306.62, 423.22 and 212.24

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Solution

The fourth proportional to 306.62, 423.22 and 212.24 is: 292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.62 : 423.22 = 212.24 : x
  2. Step 2: Convert to fraction form
    306.62/423.22 = 212.24/x
  3. Step 3: Cross multiply
    306.62x = 423.22 × 212.24
  4. Step 4: Simplify right side
    306.62x = 89,824.21
  5. Step 5: Solve for x
    x = 89,824.21/306.62
  6. Step 6: Final answer
    x = 292.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.