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Finding the Fourth Proportional to 138.03, 207.07 and 69.55

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Solution

The fourth proportional to 138.03, 207.07 and 69.55 is: 104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.03 : 207.07 = 69.55 : x
  2. Step 2: Convert to fraction form
    138.03/207.07 = 69.55/x
  3. Step 3: Cross multiply
    138.03x = 207.07 × 69.55
  4. Step 4: Simplify right side
    138.03x = 14,401.72
  5. Step 5: Solve for x
    x = 14,401.72/138.03
  6. Step 6: Final answer
    x = 104.34

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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.