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Finding the Fourth Proportional to 528.52, 793.24 and 204.11

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Solution

The fourth proportional to 528.52, 793.24 and 204.11 is: 306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.52 : 793.24 = 204.11 : x
  2. Step 2: Convert to fraction form
    528.52/793.24 = 204.11/x
  3. Step 3: Cross multiply
    528.52x = 793.24 × 204.11
  4. Step 4: Simplify right side
    528.52x = 161,907.20
  5. Step 5: Solve for x
    x = 161,907.20/528.52
  6. Step 6: Final answer
    x = 306.34

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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.