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Finding the Fourth Proportional to 147.24, 204.41 and 142.79

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Solution

The fourth proportional to 147.24, 204.41 and 142.79 is: 198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.24 : 204.41 = 142.79 : x
  2. Step 2: Convert to fraction form
    147.24/204.41 = 142.79/x
  3. Step 3: Cross multiply
    147.24x = 204.41 × 142.79
  4. Step 4: Simplify right side
    147.24x = 29,187.04
  5. Step 5: Solve for x
    x = 29,187.04/147.24
  6. Step 6: Final answer
    x = 198.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.