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Finding the Fourth Proportional to 199.31, 275.21 and 189.11

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Solution

The fourth proportional to 199.31, 275.21 and 189.11 is: 261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.31 : 275.21 = 189.11 : x
  2. Step 2: Convert to fraction form
    199.31/275.21 = 189.11/x
  3. Step 3: Cross multiply
    199.31x = 275.21 × 189.11
  4. Step 4: Simplify right side
    199.31x = 52,044.71
  5. Step 5: Solve for x
    x = 52,044.71/199.31
  6. Step 6: Final answer
    x = 261.13

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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.