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Finding the Fourth Proportional to 199.52, 275.42 and 141.44

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Solution

The fourth proportional to 199.52, 275.42 and 141.44 is: 195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.52 : 275.42 = 141.44 : x
  2. Step 2: Convert to fraction form
    199.52/275.42 = 141.44/x
  3. Step 3: Cross multiply
    199.52x = 275.42 × 141.44
  4. Step 4: Simplify right side
    199.52x = 38,955.40
  5. Step 5: Solve for x
    x = 38,955.40/199.52
  6. Step 6: Final answer
    x = 195.25

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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.