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Finding the Fourth Proportional to 223.32, 332.63 and 222.12

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Solution

The fourth proportional to 223.32, 332.63 and 222.12 is: 330.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.32 : 332.63 = 222.12 : x
  2. Step 2: Convert to fraction form
    223.32/332.63 = 222.12/x
  3. Step 3: Cross multiply
    223.32x = 332.63 × 222.12
  4. Step 4: Simplify right side
    223.32x = 73,882.67
  5. Step 5: Solve for x
    x = 73,882.67/223.32
  6. Step 6: Final answer
    x = 330.84

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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.