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Finding the Fourth Proportional to 494.63, 742.07 and 201.98

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Solution

The fourth proportional to 494.63, 742.07 and 201.98 is: 303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.63 : 742.07 = 201.98 : x
  2. Step 2: Convert to fraction form
    494.63/742.07 = 201.98/x
  3. Step 3: Cross multiply
    494.63x = 742.07 × 201.98
  4. Step 4: Simplify right side
    494.63x = 149,883.30
  5. Step 5: Solve for x
    x = 149,883.30/494.63
  6. Step 6: Final answer
    x = 303.02

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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.