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Finding the Fourth Proportional to 193.60, 266.86 and 138.24

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Solution

The fourth proportional to 193.60, 266.86 and 138.24 is: 190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.60 : 266.86 = 138.24 : x
  2. Step 2: Convert to fraction form
    193.60/266.86 = 138.24/x
  3. Step 3: Cross multiply
    193.60x = 266.86 × 138.24
  4. Step 4: Simplify right side
    193.60x = 36,890.73
  5. Step 5: Solve for x
    x = 36,890.73/193.60
  6. Step 6: Final answer
    x = 190.55

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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.