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Finding the Fourth Proportional to 549.75, 825.05 and 203.42

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Solution

The fourth proportional to 549.75, 825.05 and 203.42 is: 305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.75 : 825.05 = 203.42 : x
  2. Step 2: Convert to fraction form
    549.75/825.05 = 203.42/x
  3. Step 3: Cross multiply
    549.75x = 825.05 × 203.42
  4. Step 4: Simplify right side
    549.75x = 167,826.53
  5. Step 5: Solve for x
    x = 167,826.53/549.75
  6. Step 6: Final answer
    x = 305.28

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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.