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Finding the Fourth Proportional to 200.70, 277.12 and 138.73

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Solution

The fourth proportional to 200.70, 277.12 and 138.73 is: 191.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.70 : 277.12 = 138.73 : x
  2. Step 2: Convert to fraction form
    200.70/277.12 = 138.73/x
  3. Step 3: Cross multiply
    200.70x = 277.12 × 138.73
  4. Step 4: Simplify right side
    200.70x = 38,444.86
  5. Step 5: Solve for x
    x = 38,444.86/200.70
  6. Step 6: Final answer
    x = 191.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.