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Finding the Fourth Proportional to 218.08, 300.76 and 168.92

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Solution

The fourth proportional to 218.08, 300.76 and 168.92 is: 232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.08 : 300.76 = 168.92 : x
  2. Step 2: Convert to fraction form
    218.08/300.76 = 168.92/x
  3. Step 3: Cross multiply
    218.08x = 300.76 × 168.92
  4. Step 4: Simplify right side
    218.08x = 50,804.38
  5. Step 5: Solve for x
    x = 50,804.38/218.08
  6. Step 6: Final answer
    x = 232.96

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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.