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Finding the Fourth Proportional to 134.43, 200.67 and 100.04

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Solution

The fourth proportional to 134.43, 200.67 and 100.04 is: 149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.43 : 200.67 = 100.04 : x
  2. Step 2: Convert to fraction form
    134.43/200.67 = 100.04/x
  3. Step 3: Cross multiply
    134.43x = 200.67 × 100.04
  4. Step 4: Simplify right side
    134.43x = 20,074.02
  5. Step 5: Solve for x
    x = 20,074.02/134.43
  6. Step 6: Final answer
    x = 149.33

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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.