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Finding the Fourth Proportional to 218.86, 328.38 and 103.22

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Solution

The fourth proportional to 218.86, 328.38 and 103.22 is: 154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.86 : 328.38 = 103.22 : x
  2. Step 2: Convert to fraction form
    218.86/328.38 = 103.22/x
  3. Step 3: Cross multiply
    218.86x = 328.38 × 103.22
  4. Step 4: Simplify right side
    218.86x = 33,895.38
  5. Step 5: Solve for x
    x = 33,895.38/218.86
  6. Step 6: Final answer
    x = 154.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.