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Finding the Fourth Proportional to 528.92, 792.87 and 204.21

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Solution

The fourth proportional to 528.92, 792.87 and 204.21 is: 306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.92 : 792.87 = 204.21 : x
  2. Step 2: Convert to fraction form
    528.92/792.87 = 204.21/x
  3. Step 3: Cross multiply
    528.92x = 792.87 × 204.21
  4. Step 4: Simplify right side
    528.92x = 161,911.98
  5. Step 5: Solve for x
    x = 161,911.98/528.92
  6. Step 6: Final answer
    x = 306.12

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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.