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Finding the Fourth Proportional to 549.22, 823.83 and 159.24

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Solution

The fourth proportional to 549.22, 823.83 and 159.24 is: 238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.22 : 823.83 = 159.24 : x
  2. Step 2: Convert to fraction form
    549.22/823.83 = 159.24/x
  3. Step 3: Cross multiply
    549.22x = 823.83 × 159.24
  4. Step 4: Simplify right side
    549.22x = 131,188.75
  5. Step 5: Solve for x
    x = 131,188.75/549.22
  6. Step 6: Final answer
    x = 238.86

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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.