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Finding the Fourth Proportional to 306.14, 422.62 and 213.20

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Solution

The fourth proportional to 306.14, 422.62 and 213.20 is: 294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.14 : 422.62 = 213.20 : x
  2. Step 2: Convert to fraction form
    306.14/422.62 = 213.20/x
  3. Step 3: Cross multiply
    306.14x = 422.62 × 213.20
  4. Step 4: Simplify right side
    306.14x = 90,102.58
  5. Step 5: Solve for x
    x = 90,102.58/306.14
  6. Step 6: Final answer
    x = 294.32

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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.