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Finding the Fourth Proportional to 147.87, 202.42 and 143.21

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Solution

The fourth proportional to 147.87, 202.42 and 143.21 is: 196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.87 : 202.42 = 143.21 : x
  2. Step 2: Convert to fraction form
    147.87/202.42 = 143.21/x
  3. Step 3: Cross multiply
    147.87x = 202.42 × 143.21
  4. Step 4: Simplify right side
    147.87x = 28,988.57
  5. Step 5: Solve for x
    x = 28,988.57/147.87
  6. Step 6: Final answer
    x = 196.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.