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Finding the Fourth Proportional to 138.84, 207.42 and 120.24

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Solution

The fourth proportional to 138.84, 207.42 and 120.24 is: 179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.84 : 207.42 = 120.24 : x
  2. Step 2: Convert to fraction form
    138.84/207.42 = 120.24/x
  3. Step 3: Cross multiply
    138.84x = 207.42 × 120.24
  4. Step 4: Simplify right side
    138.84x = 24,940.18
  5. Step 5: Solve for x
    x = 24,940.18/138.84
  6. Step 6: Final answer
    x = 179.63

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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.