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Finding the Fourth Proportional to 119.39, 177.99 and 109.67

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Solution

The fourth proportional to 119.39, 177.99 and 109.67 is: 163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.39 : 177.99 = 109.67 : x
  2. Step 2: Convert to fraction form
    119.39/177.99 = 109.67/x
  3. Step 3: Cross multiply
    119.39x = 177.99 × 109.67
  4. Step 4: Simplify right side
    119.39x = 19,518.86
  5. Step 5: Solve for x
    x = 19,518.86/119.39
  6. Step 6: Final answer
    x = 163.50

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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.