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Finding the Fourth Proportional to 137.81, 190.17 and 88.67

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Solution

The fourth proportional to 137.81, 190.17 and 88.67 is: 122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.81 : 190.17 = 88.67 : x
  2. Step 2: Convert to fraction form
    137.81/190.17 = 88.67/x
  3. Step 3: Cross multiply
    137.81x = 190.17 × 88.67
  4. Step 4: Simplify right side
    137.81x = 16,861.42
  5. Step 5: Solve for x
    x = 16,861.42/137.81
  6. Step 6: Final answer
    x = 122.36

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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.