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Finding the Fourth Proportional to 330.18, 496.26 and 222.66

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Solution

The fourth proportional to 330.18, 496.26 and 222.66 is: 334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.18 : 496.26 = 222.66 : x
  2. Step 2: Convert to fraction form
    330.18/496.26 = 222.66/x
  3. Step 3: Cross multiply
    330.18x = 496.26 × 222.66
  4. Step 4: Simplify right side
    330.18x = 110,497.25
  5. Step 5: Solve for x
    x = 110,497.25/330.18
  6. Step 6: Final answer
    x = 334.66

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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.