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Finding the Fourth Proportional to 298.36, 411.78 and 167.38

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Solution

The fourth proportional to 298.36, 411.78 and 167.38 is: 231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.36 : 411.78 = 167.38 : x
  2. Step 2: Convert to fraction form
    298.36/411.78 = 167.38/x
  3. Step 3: Cross multiply
    298.36x = 411.78 × 167.38
  4. Step 4: Simplify right side
    298.36x = 68,923.74
  5. Step 5: Solve for x
    x = 68,923.74/298.36
  6. Step 6: Final answer
    x = 231.01

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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.