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Finding the Fourth Proportional to 615.22, 922.87 and 204.64

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Solution

The fourth proportional to 615.22, 922.87 and 204.64 is: 306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.22 : 922.87 = 204.64 : x
  2. Step 2: Convert to fraction form
    615.22/922.87 = 204.64/x
  3. Step 3: Cross multiply
    615.22x = 922.87 × 204.64
  4. Step 4: Simplify right side
    615.22x = 188,856.12
  5. Step 5: Solve for x
    x = 188,856.12/615.22
  6. Step 6: Final answer
    x = 306.97

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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.