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Finding the Fourth Proportional to 154.97, 214.13 and 122.03

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Solution

The fourth proportional to 154.97, 214.13 and 122.03 is: 168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.97 : 214.13 = 122.03 : x
  2. Step 2: Convert to fraction form
    154.97/214.13 = 122.03/x
  3. Step 3: Cross multiply
    154.97x = 214.13 × 122.03
  4. Step 4: Simplify right side
    154.97x = 26,131.05
  5. Step 5: Solve for x
    x = 26,131.05/154.97
  6. Step 6: Final answer
    x = 168.62

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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.