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Finding the Fourth Proportional to 343.10, 473.78 and 269.76

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Solution

The fourth proportional to 343.10, 473.78 and 269.76 is: 372.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.10 : 473.78 = 269.76 : x
  2. Step 2: Convert to fraction form
    343.10/473.78 = 269.76/x
  3. Step 3: Cross multiply
    343.10x = 473.78 × 269.76
  4. Step 4: Simplify right side
    343.10x = 127,806.89
  5. Step 5: Solve for x
    x = 127,806.89/343.10
  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.