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Finding the Fourth Proportional to 138.25, 206.61 and 111.07

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Solution

The fourth proportional to 138.25, 206.61 and 111.07 is: 165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.25 : 206.61 = 111.07 : x
  2. Step 2: Convert to fraction form
    138.25/206.61 = 111.07/x
  3. Step 3: Cross multiply
    138.25x = 206.61 × 111.07
  4. Step 4: Simplify right side
    138.25x = 22,948.17
  5. Step 5: Solve for x
    x = 22,948.17/138.25
  6. Step 6: Final answer
    x = 165.99

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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.