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Finding the Fourth Proportional to 343.86, 474.42 and 211.16

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Solution

The fourth proportional to 343.86, 474.42 and 211.16 is: 291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.86 : 474.42 = 211.16 : x
  2. Step 2: Convert to fraction form
    343.86/474.42 = 211.16/x
  3. Step 3: Cross multiply
    343.86x = 474.42 × 211.16
  4. Step 4: Simplify right side
    343.86x = 100,176.16
  5. Step 5: Solve for x
    x = 100,176.16/343.86
  6. Step 6: Final answer
    x = 291.33

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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.