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Finding the Fourth Proportional to 222.61, 332.67 and 195.28

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Solution

The fourth proportional to 222.61, 332.67 and 195.28 is: 291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.61 : 332.67 = 195.28 : x
  2. Step 2: Convert to fraction form
    222.61/332.67 = 195.28/x
  3. Step 3: Cross multiply
    222.61x = 332.67 × 195.28
  4. Step 4: Simplify right side
    222.61x = 64,963.80
  5. Step 5: Solve for x
    x = 64,963.80/222.61
  6. Step 6: Final answer
    x = 291.83

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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.