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Finding the Fourth Proportional to 306.89, 458.09 and 270.44

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Solution

The fourth proportional to 306.89, 458.09 and 270.44 is: 403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.89 : 458.09 = 270.44 : x
  2. Step 2: Convert to fraction form
    306.89/458.09 = 270.44/x
  3. Step 3: Cross multiply
    306.89x = 458.09 × 270.44
  4. Step 4: Simplify right side
    306.89x = 123,885.86
  5. Step 5: Solve for x
    x = 123,885.86/306.89
  6. Step 6: Final answer
    x = 403.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.