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Finding the Fourth Proportional to 579.24, 868.08 and 213.67

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Solution

The fourth proportional to 579.24, 868.08 and 213.67 is: 320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.24 : 868.08 = 213.67 : x
  2. Step 2: Convert to fraction form
    579.24/868.08 = 213.67/x
  3. Step 3: Cross multiply
    579.24x = 868.08 × 213.67
  4. Step 4: Simplify right side
    579.24x = 185,482.65
  5. Step 5: Solve for x
    x = 185,482.65/579.24
  6. Step 6: Final answer
    x = 320.22

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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.