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Finding the Fourth Proportional to 134.40, 200.92 and 133.05

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Solution

The fourth proportional to 134.40, 200.92 and 133.05 is: 198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.40 : 200.92 = 133.05 : x
  2. Step 2: Convert to fraction form
    134.40/200.92 = 133.05/x
  3. Step 3: Cross multiply
    134.40x = 200.92 × 133.05
  4. Step 4: Simplify right side
    134.40x = 26,732.07
  5. Step 5: Solve for x
    x = 26,732.07/134.40
  6. Step 6: Final answer
    x = 198.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.