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Finding the Fourth Proportional to 495.41, 742.84 and 203.12

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Solution

The fourth proportional to 495.41, 742.84 and 203.12 is: 304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.41 : 742.84 = 203.12 : x
  2. Step 2: Convert to fraction form
    495.41/742.84 = 203.12/x
  3. Step 3: Cross multiply
    495.41x = 742.84 × 203.12
  4. Step 4: Simplify right side
    495.41x = 150,884.99
  5. Step 5: Solve for x
    x = 150,884.99/495.41
  6. Step 6: Final answer
    x = 304.56

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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.