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Finding the Fourth Proportional to 199.17, 275.00 and 141.12

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Solution

The fourth proportional to 199.17, 275.00 and 141.12 is: 194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.17 : 275.00 = 141.12 : x
  2. Step 2: Convert to fraction form
    199.17/275.00 = 141.12/x
  3. Step 3: Cross multiply
    199.17x = 275.00 × 141.12
  4. Step 4: Simplify right side
    199.17x = 38,807.29
  5. Step 5: Solve for x
    x = 38,807.29/199.17
  6. Step 6: Final answer
    x = 194.85

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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.