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Finding the Fourth Proportional to 215.89, 325.11 and 179.67

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Solution

The fourth proportional to 215.89, 325.11 and 179.67 is: 270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.89 : 325.11 = 179.67 : x
  2. Step 2: Convert to fraction form
    215.89/325.11 = 179.67/x
  3. Step 3: Cross multiply
    215.89x = 325.11 × 179.67
  4. Step 4: Simplify right side
    215.89x = 58,412.58
  5. Step 5: Solve for x
    x = 58,412.58/215.89
  6. Step 6: Final answer
    x = 270.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.