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Finding the Fourth Proportional to 133.82, 199.88 and 130.17

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Solution

The fourth proportional to 133.82, 199.88 and 130.17 is: 194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.82 : 199.88 = 130.17 : x
  2. Step 2: Convert to fraction form
    133.82/199.88 = 130.17/x
  3. Step 3: Cross multiply
    133.82x = 199.88 × 130.17
  4. Step 4: Simplify right side
    133.82x = 26,019.70
  5. Step 5: Solve for x
    x = 26,019.70/133.82
  6. Step 6: Final answer
    x = 194.44

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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.