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Finding the Fourth Proportional to 222.72, 332.36 and 195.72

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Solution

The fourth proportional to 222.72, 332.36 and 195.72 is: 292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.72 : 332.36 = 195.72 : x
  2. Step 2: Convert to fraction form
    222.72/332.36 = 195.72/x
  3. Step 3: Cross multiply
    222.72x = 332.36 × 195.72
  4. Step 4: Simplify right side
    222.72x = 65,048.52
  5. Step 5: Solve for x
    x = 65,048.52/222.72
  6. Step 6: Final answer
    x = 292.07

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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.