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Finding the Fourth Proportional to 222.93, 334.27 and 131.65

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Solution

The fourth proportional to 222.93, 334.27 and 131.65 is: 197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.93 : 334.27 = 131.65 : x
  2. Step 2: Convert to fraction form
    222.93/334.27 = 131.65/x
  3. Step 3: Cross multiply
    222.93x = 334.27 × 131.65
  4. Step 4: Simplify right side
    222.93x = 44,006.65
  5. Step 5: Solve for x
    x = 44,006.65/222.93
  6. Step 6: Final answer
    x = 197.40

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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.