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Finding the Fourth Proportional to 308.66, 461.90 and 243.09

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Solution

The fourth proportional to 308.66, 461.90 and 243.09 is: 363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.66 : 461.90 = 243.09 : x
  2. Step 2: Convert to fraction form
    308.66/461.90 = 243.09/x
  3. Step 3: Cross multiply
    308.66x = 461.90 × 243.09
  4. Step 4: Simplify right side
    308.66x = 112,282.06
  5. Step 5: Solve for x
    x = 112,282.06/308.66
  6. Step 6: Final answer
    x = 363.78

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