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Finding the Fourth Proportional to 308.96, 461.20 and 283.28

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Solution

The fourth proportional to 308.96, 461.20 and 283.28 is: 422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.96 : 461.20 = 283.28 : x
  2. Step 2: Convert to fraction form
    308.96/461.20 = 283.28/x
  3. Step 3: Cross multiply
    308.96x = 461.20 × 283.28
  4. Step 4: Simplify right side
    308.96x = 130,648.74
  5. Step 5: Solve for x
    x = 130,648.74/308.96
  6. Step 6: Final answer
    x = 422.87

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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.