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Finding the Fourth Proportional to 306.73, 423.29 and 240.41

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Solution

The fourth proportional to 306.73, 423.29 and 240.41 is: 331.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.73 : 423.29 = 240.41 : x
  2. Step 2: Convert to fraction form
    306.73/423.29 = 240.41/x
  3. Step 3: Cross multiply
    306.73x = 423.29 × 240.41
  4. Step 4: Simplify right side
    306.73x = 101,763.15
  5. Step 5: Solve for x
    x = 101,763.15/306.73
  6. Step 6: Final answer
    x = 331.77

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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.