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Finding the Fourth Proportional to 306.36, 422.82 and 232.74

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Solution

The fourth proportional to 306.36, 422.82 and 232.74 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.36 : 422.82 = 232.74 : x
  2. Step 2: Convert to fraction form
    306.36/422.82 = 232.74/x
  3. Step 3: Cross multiply
    306.36x = 422.82 × 232.74
  4. Step 4: Simplify right side
    306.36x = 98,407.13
  5. Step 5: Solve for x
    x = 98,407.13/306.36
  6. Step 6: Final answer
    x = 321.21

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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.