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Finding the Fourth Proportional to 495.29, 743.24 and 251.99

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Solution

The fourth proportional to 495.29, 743.24 and 251.99 is: 378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.29 : 743.24 = 251.99 : x
  2. Step 2: Convert to fraction form
    495.29/743.24 = 251.99/x
  3. Step 3: Cross multiply
    495.29x = 743.24 × 251.99
  4. Step 4: Simplify right side
    495.29x = 187,289.05
  5. Step 5: Solve for x
    x = 187,289.05/495.29
  6. Step 6: Final answer
    x = 378.14

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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.