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Finding the Fourth Proportional to 222.84, 306.96 and 164.52

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Solution

The fourth proportional to 222.84, 306.96 and 164.52 is: 226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.84 : 306.96 = 164.52 : x
  2. Step 2: Convert to fraction form
    222.84/306.96 = 164.52/x
  3. Step 3: Cross multiply
    222.84x = 306.96 × 164.52
  4. Step 4: Simplify right side
    222.84x = 50,501.06
  5. Step 5: Solve for x
    x = 50,501.06/222.84
  6. Step 6: Final answer
    x = 226.62

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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.