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Finding the Fourth Proportional to 199.54, 275.31 and 134.14

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Solution

The fourth proportional to 199.54, 275.31 and 134.14 is: 185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.54 : 275.31 = 134.14 : x
  2. Step 2: Convert to fraction form
    199.54/275.31 = 134.14/x
  3. Step 3: Cross multiply
    199.54x = 275.31 × 134.14
  4. Step 4: Simplify right side
    199.54x = 36,930.08
  5. Step 5: Solve for x
    x = 36,930.08/199.54
  6. Step 6: Final answer
    x = 185.08

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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.