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Finding the Fourth Proportional to 135.82, 202.79 and 122.17

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Solution

The fourth proportional to 135.82, 202.79 and 122.17 is: 182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.82 : 202.79 = 122.17 : x
  2. Step 2: Convert to fraction form
    135.82/202.79 = 122.17/x
  3. Step 3: Cross multiply
    135.82x = 202.79 × 122.17
  4. Step 4: Simplify right side
    135.82x = 24,774.85
  5. Step 5: Solve for x
    x = 24,774.85/135.82
  6. Step 6: Final answer
    x = 182.41

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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.