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Finding the Fourth Proportional to 343.72, 473.20 and 297.69

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Solution

The fourth proportional to 343.72, 473.20 and 297.69 is: 409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.72 : 473.20 = 297.69 : x
  2. Step 2: Convert to fraction form
    343.72/473.20 = 297.69/x
  3. Step 3: Cross multiply
    343.72x = 473.20 × 297.69
  4. Step 4: Simplify right side
    343.72x = 140,866.91
  5. Step 5: Solve for x
    x = 140,866.91/343.72
  6. Step 6: Final answer
    x = 409.83

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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.