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Finding the Fourth Proportional to 138.03, 206.77 and 120.93

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Solution

The fourth proportional to 138.03, 206.77 and 120.93 is: 181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.03 : 206.77 = 120.93 : x
  2. Step 2: Convert to fraction form
    138.03/206.77 = 120.93/x
  3. Step 3: Cross multiply
    138.03x = 206.77 × 120.93
  4. Step 4: Simplify right side
    138.03x = 25,004.70
  5. Step 5: Solve for x
    x = 25,004.70/138.03
  6. Step 6: Final answer
    x = 181.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.