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Finding the Fourth Proportional to 222.61, 332.48 and 204.43

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Solution

The fourth proportional to 222.61, 332.48 and 204.43 is: 305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.61 : 332.48 = 204.43 : x
  2. Step 2: Convert to fraction form
    222.61/332.48 = 204.43/x
  3. Step 3: Cross multiply
    222.61x = 332.48 × 204.43
  4. Step 4: Simplify right side
    222.61x = 67,968.89
  5. Step 5: Solve for x
    x = 67,968.89/222.61
  6. Step 6: Final answer
    x = 305.33

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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.