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Finding the Fourth Proportional to 308.89, 461.14 and 298.08

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Solution

The fourth proportional to 308.89, 461.14 and 298.08 is: 444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.89 : 461.14 = 298.08 : x
  2. Step 2: Convert to fraction form
    308.89/461.14 = 298.08/x
  3. Step 3: Cross multiply
    308.89x = 461.14 × 298.08
  4. Step 4: Simplify right side
    308.89x = 137,456.30
  5. Step 5: Solve for x
    x = 137,456.30/308.89
  6. Step 6: Final answer
    x = 444.99

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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.