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Finding the Fourth Proportional to 298.69, 412.29 and 211.61

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Solution

The fourth proportional to 298.69, 412.29 and 211.61 is: 292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.69 : 412.29 = 211.61 : x
  2. Step 2: Convert to fraction form
    298.69/412.29 = 211.61/x
  3. Step 3: Cross multiply
    298.69x = 412.29 × 211.61
  4. Step 4: Simplify right side
    298.69x = 87,245.72
  5. Step 5: Solve for x
    x = 87,245.72/298.69
  6. Step 6: Final answer
    x = 292.10

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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.