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Finding the Fourth Proportional to 495.52, 742.24 and 300.41

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Solution

The fourth proportional to 495.52, 742.24 and 300.41 is: 449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.52 : 742.24 = 300.41 : x
  2. Step 2: Convert to fraction form
    495.52/742.24 = 300.41/x
  3. Step 3: Cross multiply
    495.52x = 742.24 × 300.41
  4. Step 4: Simplify right side
    495.52x = 222,974.92
  5. Step 5: Solve for x
    x = 222,974.92/495.52
  6. Step 6: Final answer
    x = 449.98

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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.