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Finding the Fourth Proportional to 494.54, 742.06 and 202.03

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Solution

The fourth proportional to 494.54, 742.06 and 202.03 is: 303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.54 : 742.06 = 202.03 : x
  2. Step 2: Convert to fraction form
    494.54/742.06 = 202.03/x
  3. Step 3: Cross multiply
    494.54x = 742.06 × 202.03
  4. Step 4: Simplify right side
    494.54x = 149,916.78
  5. Step 5: Solve for x
    x = 149,916.78/494.54
  6. Step 6: Final answer
    x = 303.14

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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.