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Finding the Fourth Proportional to 308.76, 463.24 and 286.28

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Solution

The fourth proportional to 308.76, 463.24 and 286.28 is: 429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.76 : 463.24 = 286.28 : x
  2. Step 2: Convert to fraction form
    308.76/463.24 = 286.28/x
  3. Step 3: Cross multiply
    308.76x = 463.24 × 286.28
  4. Step 4: Simplify right side
    308.76x = 132,616.35
  5. Step 5: Solve for x
    x = 132,616.35/308.76
  6. Step 6: Final answer
    x = 429.51

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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.