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Finding the Fourth Proportional to 222.42, 306.36 and 206.64

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Solution

The fourth proportional to 222.42, 306.36 and 206.64 is: 284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.42 : 306.36 = 206.64 : x
  2. Step 2: Convert to fraction form
    222.42/306.36 = 206.64/x
  3. Step 3: Cross multiply
    222.42x = 306.36 × 206.64
  4. Step 4: Simplify right side
    222.42x = 63,306.23
  5. Step 5: Solve for x
    x = 63,306.23/222.42
  6. Step 6: Final answer
    x = 284.62

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