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Finding the Fourth Proportional to 528.69, 792.96 and 204.15

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Solution

The fourth proportional to 528.69, 792.96 and 204.15 is: 306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.69 : 792.96 = 204.15 : x
  2. Step 2: Convert to fraction form
    528.69/792.96 = 204.15/x
  3. Step 3: Cross multiply
    528.69x = 792.96 × 204.15
  4. Step 4: Simplify right side
    528.69x = 161,882.78
  5. Step 5: Solve for x
    x = 161,882.78/528.69
  6. Step 6: Final answer
    x = 306.20

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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.