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Finding the Fourth Proportional to 494.03, 740.22 and 301.25

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Solution

The fourth proportional to 494.03, 740.22 and 301.25 is: 451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.03 : 740.22 = 301.25 : x
  2. Step 2: Convert to fraction form
    494.03/740.22 = 301.25/x
  3. Step 3: Cross multiply
    494.03x = 740.22 × 301.25
  4. Step 4: Simplify right side
    494.03x = 222,991.28
  5. Step 5: Solve for x
    x = 222,991.28/494.03
  6. Step 6: Final answer
    x = 451.37

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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.