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Finding the Fourth Proportional to 193.37, 266.91 and 138.14

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Solution

The fourth proportional to 193.37, 266.91 and 138.14 is: 190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.37 : 266.91 = 138.14 : x
  2. Step 2: Convert to fraction form
    193.37/266.91 = 138.14/x
  3. Step 3: Cross multiply
    193.37x = 266.91 × 138.14
  4. Step 4: Simplify right side
    193.37x = 36,869.61
  5. Step 5: Solve for x
    x = 36,869.61/193.37
  6. Step 6: Final answer
    x = 190.67

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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.