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Finding the Fourth Proportional to 343.13, 473.11 and 280.82

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Solution

The fourth proportional to 343.13, 473.11 and 280.82 is: 387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.13 : 473.11 = 280.82 : x
  2. Step 2: Convert to fraction form
    343.13/473.11 = 280.82/x
  3. Step 3: Cross multiply
    343.13x = 473.11 × 280.82
  4. Step 4: Simplify right side
    343.13x = 132,859.23
  5. Step 5: Solve for x
    x = 132,859.23/343.13
  6. Step 6: Final answer
    x = 387.20

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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.