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Finding the Fourth Proportional to 306.72, 422.88 and 232.80

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Solution

The fourth proportional to 306.72, 422.88 and 232.80 is: 320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.72 : 422.88 = 232.80 : x
  2. Step 2: Convert to fraction form
    306.72/422.88 = 232.80/x
  3. Step 3: Cross multiply
    306.72x = 422.88 × 232.80
  4. Step 4: Simplify right side
    306.72x = 98,446.46
  5. Step 5: Solve for x
    x = 98,446.46/306.72
  6. Step 6: Final answer
    x = 320.97

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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.