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Finding the Fourth Proportional to 222.24, 330.72 and 213.60

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Solution

The fourth proportional to 222.24, 330.72 and 213.60 is: 317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.24 : 330.72 = 213.60 : x
  2. Step 2: Convert to fraction form
    222.24/330.72 = 213.60/x
  3. Step 3: Cross multiply
    222.24x = 330.72 × 213.60
  4. Step 4: Simplify right side
    222.24x = 70,641.79
  5. Step 5: Solve for x
    x = 70,641.79/222.24
  6. Step 6: Final answer
    x = 317.86

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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.