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Finding the Fourth Proportional to 493.26, 680.68 and 272.24

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Solution

The fourth proportional to 493.26, 680.68 and 272.24 is: 375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.26 : 680.68 = 272.24 : x
  2. Step 2: Convert to fraction form
    493.26/680.68 = 272.24/x
  3. Step 3: Cross multiply
    493.26x = 680.68 × 272.24
  4. Step 4: Simplify right side
    493.26x = 185,308.32
  5. Step 5: Solve for x
    x = 185,308.32/493.26
  6. Step 6: Final answer
    x = 375.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.