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Finding the Fourth Proportional to 495.47, 743.21 and 279.20

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Solution

The fourth proportional to 495.47, 743.21 and 279.20 is: 418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.47 : 743.21 = 279.20 : x
  2. Step 2: Convert to fraction form
    495.47/743.21 = 279.20/x
  3. Step 3: Cross multiply
    495.47x = 743.21 × 279.20
  4. Step 4: Simplify right side
    495.47x = 207,499.12
  5. Step 5: Solve for x
    x = 207,499.12/495.47
  6. Step 6: Final answer
    x = 418.80

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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.