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Finding the Fourth Proportional to 312.43, 470.97 and 269.45

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Solution

The fourth proportional to 312.43, 470.97 and 269.45 is: 406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.43 : 470.97 = 269.45 : x
  2. Step 2: Convert to fraction form
    312.43/470.97 = 269.45/x
  3. Step 3: Cross multiply
    312.43x = 470.97 × 269.45
  4. Step 4: Simplify right side
    312.43x = 126,902.87
  5. Step 5: Solve for x
    x = 126,902.87/312.43
  6. Step 6: Final answer
    x = 406.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.