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Finding the Fourth Proportional to 306.41, 458.60 and 255.16

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Solution

The fourth proportional to 306.41, 458.60 and 255.16 is: 381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.41 : 458.60 = 255.16 : x
  2. Step 2: Convert to fraction form
    306.41/458.60 = 255.16/x
  3. Step 3: Cross multiply
    306.41x = 458.60 × 255.16
  4. Step 4: Simplify right side
    306.41x = 117,013.95
  5. Step 5: Solve for x
    x = 117,013.95/306.41
  6. Step 6: Final answer
    x = 381.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.