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Finding the Fourth Proportional to 308.86, 463.20 and 254.62

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Solution

The fourth proportional to 308.86, 463.20 and 254.62 is: 381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.86 : 463.20 = 254.62 : x
  2. Step 2: Convert to fraction form
    308.86/463.20 = 254.62/x
  3. Step 3: Cross multiply
    308.86x = 463.20 × 254.62
  4. Step 4: Simplify right side
    308.86x = 117,939.98
  5. Step 5: Solve for x
    x = 117,939.98/308.86
  6. Step 6: Final answer
    x = 381.86

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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.