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Finding the Fourth Proportional to 309.59, 426.57 and 222.11

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Solution

The fourth proportional to 309.59, 426.57 and 222.11 is: 306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.59 : 426.57 = 222.11 : x
  2. Step 2: Convert to fraction form
    309.59/426.57 = 222.11/x
  3. Step 3: Cross multiply
    309.59x = 426.57 × 222.11
  4. Step 4: Simplify right side
    309.59x = 94,745.46
  5. Step 5: Solve for x
    x = 94,745.46/309.59
  6. Step 6: Final answer
    x = 306.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.