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Finding the Fourth Proportional to 179.91, 270.26 and 128.67

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Solution

The fourth proportional to 179.91, 270.26 and 128.67 is: 193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.91 : 270.26 = 128.67 : x
  2. Step 2: Convert to fraction form
    179.91/270.26 = 128.67/x
  3. Step 3: Cross multiply
    179.91x = 270.26 × 128.67
  4. Step 4: Simplify right side
    179.91x = 34,774.35
  5. Step 5: Solve for x
    x = 34,774.35/179.91
  6. Step 6: Final answer
    x = 193.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.