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Finding the Fourth Proportional to 298.79, 411.97 and 211.31

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Solution

The fourth proportional to 298.79, 411.97 and 211.31 is: 291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.79 : 411.97 = 211.31 : x
  2. Step 2: Convert to fraction form
    298.79/411.97 = 211.31/x
  3. Step 3: Cross multiply
    298.79x = 411.97 × 211.31
  4. Step 4: Simplify right side
    298.79x = 87,050.26
  5. Step 5: Solve for x
    x = 87,050.26/298.79
  6. Step 6: Final answer
    x = 291.35

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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.