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Finding the Fourth Proportional to 147.88, 205.12 and 143.92

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Solution

The fourth proportional to 147.88, 205.12 and 143.92 is: 199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.88 : 205.12 = 143.92 : x
  2. Step 2: Convert to fraction form
    147.88/205.12 = 143.92/x
  3. Step 3: Cross multiply
    147.88x = 205.12 × 143.92
  4. Step 4: Simplify right side
    147.88x = 29,520.87
  5. Step 5: Solve for x
    x = 29,520.87/147.88
  6. Step 6: Final answer
    x = 199.63

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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.