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Finding the Fourth Proportional to 308.92, 463.56 and 231.94

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Solution

The fourth proportional to 308.92, 463.56 and 231.94 is: 348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.92 : 463.56 = 231.94 : x
  2. Step 2: Convert to fraction form
    308.92/463.56 = 231.94/x
  3. Step 3: Cross multiply
    308.92x = 463.56 × 231.94
  4. Step 4: Simplify right side
    308.92x = 107,518.11
  5. Step 5: Solve for x
    x = 107,518.11/308.92
  6. Step 6: Final answer
    x = 348.05

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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.