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Finding the Fourth Proportional to 308.98, 463.73 and 154.86

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Solution

The fourth proportional to 308.98, 463.73 and 154.86 is: 232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.98 : 463.73 = 154.86 : x
  2. Step 2: Convert to fraction form
    308.98/463.73 = 154.86/x
  3. Step 3: Cross multiply
    308.98x = 463.73 × 154.86
  4. Step 4: Simplify right side
    308.98x = 71,813.23
  5. Step 5: Solve for x
    x = 71,813.23/308.98
  6. Step 6: Final answer
    x = 232.42

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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.