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Finding the Fourth Proportional to 138.84, 191.67 and 120.37

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Solution

The fourth proportional to 138.84, 191.67 and 120.37 is: 166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.84 : 191.67 = 120.37 : x
  2. Step 2: Convert to fraction form
    138.84/191.67 = 120.37/x
  3. Step 3: Cross multiply
    138.84x = 191.67 × 120.37
  4. Step 4: Simplify right side
    138.84x = 23,071.32
  5. Step 5: Solve for x
    x = 23,071.32/138.84
  6. Step 6: Final answer
    x = 166.17

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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.