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Finding the Fourth Proportional to 495.68, 743.24 and 203.38

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Solution

The fourth proportional to 495.68, 743.24 and 203.38 is: 304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.68 : 743.24 = 203.38 : x
  2. Step 2: Convert to fraction form
    495.68/743.24 = 203.38/x
  3. Step 3: Cross multiply
    495.68x = 743.24 × 203.38
  4. Step 4: Simplify right side
    495.68x = 151,157.28
  5. Step 5: Solve for x
    x = 151,157.28/495.68
  6. Step 6: Final answer
    x = 304.95

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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.