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Finding the Fourth Proportional to 494.47, 741.37 and 299.52

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Solution

The fourth proportional to 494.47, 741.37 and 299.52 is: 449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.47 : 741.37 = 299.52 : x
  2. Step 2: Convert to fraction form
    494.47/741.37 = 299.52/x
  3. Step 3: Cross multiply
    494.47x = 741.37 × 299.52
  4. Step 4: Simplify right side
    494.47x = 222,054.96
  5. Step 5: Solve for x
    x = 222,054.96/494.47
  6. Step 6: Final answer
    x = 449.08

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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.