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Finding the Fourth Proportional to 427.83, 641.05 and 222.12

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Solution

The fourth proportional to 427.83, 641.05 and 222.12 is: 332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.83 : 641.05 = 222.12 : x
  2. Step 2: Convert to fraction form
    427.83/641.05 = 222.12/x
  3. Step 3: Cross multiply
    427.83x = 641.05 × 222.12
  4. Step 4: Simplify right side
    427.83x = 142,390.03
  5. Step 5: Solve for x
    x = 142,390.03/427.83
  6. Step 6: Final answer
    x = 332.82

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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.