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Finding the Fourth Proportional to 308.74, 463.18 and 92.34

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Solution

The fourth proportional to 308.74, 463.18 and 92.34 is: 138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.74 : 463.18 = 92.34 : x
  2. Step 2: Convert to fraction form
    308.74/463.18 = 92.34/x
  3. Step 3: Cross multiply
    308.74x = 463.18 × 92.34
  4. Step 4: Simplify right side
    308.74x = 42,770.04
  5. Step 5: Solve for x
    x = 42,770.04/308.74
  6. Step 6: Final answer
    x = 138.53

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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.