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Finding the Fourth Proportional to 308.78, 463.16 and 92.35

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Solution

The fourth proportional to 308.78, 463.16 and 92.35 is: 138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.78 : 463.16 = 92.35 : x
  2. Step 2: Convert to fraction form
    308.78/463.16 = 92.35/x
  3. Step 3: Cross multiply
    308.78x = 463.16 × 92.35
  4. Step 4: Simplify right side
    308.78x = 42,772.83
  5. Step 5: Solve for x
    x = 42,772.83/308.78
  6. Step 6: Final answer
    x = 138.52

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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.