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Finding the Fourth Proportional to 298.17, 411.42 and 173.84

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Solution

The fourth proportional to 298.17, 411.42 and 173.84 is: 239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.17 : 411.42 = 173.84 : x
  2. Step 2: Convert to fraction form
    298.17/411.42 = 173.84/x
  3. Step 3: Cross multiply
    298.17x = 411.42 × 173.84
  4. Step 4: Simplify right side
    298.17x = 71,519.20
  5. Step 5: Solve for x
    x = 71,519.20/298.17
  6. Step 6: Final answer
    x = 239.86

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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.