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Finding the Fourth Proportional to 199.50, 275.34 and 140.43

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Solution

The fourth proportional to 199.50, 275.34 and 140.43 is: 193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.50 : 275.34 = 140.43 : x
  2. Step 2: Convert to fraction form
    199.50/275.34 = 140.43/x
  3. Step 3: Cross multiply
    199.50x = 275.34 × 140.43
  4. Step 4: Simplify right side
    199.50x = 38,666.57
  5. Step 5: Solve for x
    x = 38,666.57/199.50
  6. Step 6: Final answer
    x = 193.82

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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.