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Finding the Fourth Proportional to 154.20, 213.02 and 142.68

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Solution

The fourth proportional to 154.20, 213.02 and 142.68 is: 197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.20 : 213.02 = 142.68 : x
  2. Step 2: Convert to fraction form
    154.20/213.02 = 142.68/x
  3. Step 3: Cross multiply
    154.20x = 213.02 × 142.68
  4. Step 4: Simplify right side
    154.20x = 30,393.69
  5. Step 5: Solve for x
    x = 30,393.69/154.20
  6. Step 6: Final answer
    x = 197.11

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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.