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Finding the Fourth Proportional to 529.52, 794.11 and 221.29

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Solution

The fourth proportional to 529.52, 794.11 and 221.29 is: 331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.52 : 794.11 = 221.29 : x
  2. Step 2: Convert to fraction form
    529.52/794.11 = 221.29/x
  3. Step 3: Cross multiply
    529.52x = 794.11 × 221.29
  4. Step 4: Simplify right side
    529.52x = 175,727.50
  5. Step 5: Solve for x
    x = 175,727.50/529.52
  6. Step 6: Final answer
    x = 331.86

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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.