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Finding the Fourth Proportional to 343.50, 473.97 and 269.97

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Solution

The fourth proportional to 343.50, 473.97 and 269.97 is: 372.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.50 : 473.97 = 269.97 : x
  2. Step 2: Convert to fraction form
    343.50/473.97 = 269.97/x
  3. Step 3: Cross multiply
    343.50x = 473.97 × 269.97
  4. Step 4: Simplify right side
    343.50x = 127,957.68
  5. Step 5: Solve for x
    x = 127,957.68/343.50
  6. Step 6: Final answer
    x = 372.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.