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Finding the Fourth Proportional to 308.04, 461.61 and 178.03

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Solution

The fourth proportional to 308.04, 461.61 and 178.03 is: 266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.04 : 461.61 = 178.03 : x
  2. Step 2: Convert to fraction form
    308.04/461.61 = 178.03/x
  3. Step 3: Cross multiply
    308.04x = 461.61 × 178.03
  4. Step 4: Simplify right side
    308.04x = 82,180.43
  5. Step 5: Solve for x
    x = 82,180.43/308.04
  6. Step 6: Final answer
    x = 266.78

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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.