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Finding the Fourth Proportional to 298.36, 411.89 and 231.82

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Solution

The fourth proportional to 298.36, 411.89 and 231.82 is: 320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.36 : 411.89 = 231.82 : x
  2. Step 2: Convert to fraction form
    298.36/411.89 = 231.82/x
  3. Step 3: Cross multiply
    298.36x = 411.89 × 231.82
  4. Step 4: Simplify right side
    298.36x = 95,484.34
  5. Step 5: Solve for x
    x = 95,484.34/298.36
  6. Step 6: Final answer
    x = 320.03

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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.