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Finding the Fourth Proportional to 298.09, 411.87 and 232.03

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Solution

The fourth proportional to 298.09, 411.87 and 232.03 is: 320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.09 : 411.87 = 232.03 : x
  2. Step 2: Convert to fraction form
    298.09/411.87 = 232.03/x
  3. Step 3: Cross multiply
    298.09x = 411.87 × 232.03
  4. Step 4: Simplify right side
    298.09x = 95,566.20
  5. Step 5: Solve for x
    x = 95,566.20/298.09
  6. Step 6: Final answer
    x = 320.60

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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.