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Finding the Fourth Proportional to 155.20, 213.71 and 122.14

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Solution

The fourth proportional to 155.20, 213.71 and 122.14 is: 168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.20 : 213.71 = 122.14 : x
  2. Step 2: Convert to fraction form
    155.20/213.71 = 122.14/x
  3. Step 3: Cross multiply
    155.20x = 213.71 × 122.14
  4. Step 4: Simplify right side
    155.20x = 26,102.54
  5. Step 5: Solve for x
    x = 26,102.54/155.20
  6. Step 6: Final answer
    x = 168.19

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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.