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Finding the Fourth Proportional to 494.61, 742.13 and 202.33

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Solution

The fourth proportional to 494.61, 742.13 and 202.33 is: 303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.61 : 742.13 = 202.33 : x
  2. Step 2: Convert to fraction form
    494.61/742.13 = 202.33/x
  3. Step 3: Cross multiply
    494.61x = 742.13 × 202.33
  4. Step 4: Simplify right side
    494.61x = 150,155.84
  5. Step 5: Solve for x
    x = 150,155.84/494.61
  6. Step 6: Final answer
    x = 303.59

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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.