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Finding the Fourth Proportional to 138.20, 207.30 and 135.95

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Solution

The fourth proportional to 138.20, 207.30 and 135.95 is: 203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.20 : 207.30 = 135.95 : x
  2. Step 2: Convert to fraction form
    138.20/207.30 = 135.95/x
  3. Step 3: Cross multiply
    138.20x = 207.30 × 135.95
  4. Step 4: Simplify right side
    138.20x = 28,182.44
  5. Step 5: Solve for x
    x = 28,182.44/138.20
  6. Step 6: Final answer
    x = 203.93

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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.