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Finding the Fourth Proportional to 138.58, 206.63 and 134.80

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Solution

The fourth proportional to 138.58, 206.63 and 134.80 is: 200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.58 : 206.63 = 134.80 : x
  2. Step 2: Convert to fraction form
    138.58/206.63 = 134.80/x
  3. Step 3: Cross multiply
    138.58x = 206.63 × 134.80
  4. Step 4: Simplify right side
    138.58x = 27,853.72
  5. Step 5: Solve for x
    x = 27,853.72/138.58
  6. Step 6: Final answer
    x = 200.99

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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.