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Finding the Fourth Proportional to 308.86, 463.34 and 154.63

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Solution

The fourth proportional to 308.86, 463.34 and 154.63 is: 231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.86 : 463.34 = 154.63 : x
  2. Step 2: Convert to fraction form
    308.86/463.34 = 154.63/x
  3. Step 3: Cross multiply
    308.86x = 463.34 × 154.63
  4. Step 4: Simplify right side
    308.86x = 71,644.33
  5. Step 5: Solve for x
    x = 71,644.33/308.86
  6. Step 6: Final answer
    x = 231.97

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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.