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Finding the Fourth Proportional to 222.92, 332.84 and 194.98

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Solution

The fourth proportional to 222.92, 332.84 and 194.98 is: 291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.92 : 332.84 = 194.98 : x
  2. Step 2: Convert to fraction form
    222.92/332.84 = 194.98/x
  3. Step 3: Cross multiply
    222.92x = 332.84 × 194.98
  4. Step 4: Simplify right side
    222.92x = 64,897.14
  5. Step 5: Solve for x
    x = 64,897.14/222.92
  6. Step 6: Final answer
    x = 291.12

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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.