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Finding the Fourth Proportional to 222.12, 306.25 and 169.50

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Solution

The fourth proportional to 222.12, 306.25 and 169.50 is: 233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.12 : 306.25 = 169.50 : x
  2. Step 2: Convert to fraction form
    222.12/306.25 = 169.50/x
  3. Step 3: Cross multiply
    222.12x = 306.25 × 169.50
  4. Step 4: Simplify right side
    222.12x = 51,909.38
  5. Step 5: Solve for x
    x = 51,909.38/222.12
  6. Step 6: Final answer
    x = 233.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.