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Finding the Fourth Proportional to 343.05, 473.31 and 211.92

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Solution

The fourth proportional to 343.05, 473.31 and 211.92 is: 292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.05 : 473.31 = 211.92 : x
  2. Step 2: Convert to fraction form
    343.05/473.31 = 211.92/x
  3. Step 3: Cross multiply
    343.05x = 473.31 × 211.92
  4. Step 4: Simplify right side
    343.05x = 100,303.86
  5. Step 5: Solve for x
    x = 100,303.86/343.05
  6. Step 6: Final answer
    x = 292.39

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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.