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Finding the Fourth Proportional to 308.90, 463.86 and 257.94

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Solution

The fourth proportional to 308.90, 463.86 and 257.94 is: 387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.90 : 463.86 = 257.94 : x
  2. Step 2: Convert to fraction form
    308.90/463.86 = 257.94/x
  3. Step 3: Cross multiply
    308.90x = 463.86 × 257.94
  4. Step 4: Simplify right side
    308.90x = 119,648.05
  5. Step 5: Solve for x
    x = 119,648.05/308.90
  6. Step 6: Final answer
    x = 387.34

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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.