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Finding the Fourth Proportional to 298.35, 411.68 and 167.37

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Solution

The fourth proportional to 298.35, 411.68 and 167.37 is: 230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.35 : 411.68 = 167.37 : x
  2. Step 2: Convert to fraction form
    298.35/411.68 = 167.37/x
  3. Step 3: Cross multiply
    298.35x = 411.68 × 167.37
  4. Step 4: Simplify right side
    298.35x = 68,902.04
  5. Step 5: Solve for x
    x = 68,902.04/298.35
  6. Step 6: Final answer
    x = 230.94

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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.