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Finding the Fourth Proportional to 493.71, 681.22 and 297.23

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Solution

The fourth proportional to 493.71, 681.22 and 297.23 is: 410.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.71 : 681.22 = 297.23 : x
  2. Step 2: Convert to fraction form
    493.71/681.22 = 297.23/x
  3. Step 3: Cross multiply
    493.71x = 681.22 × 297.23
  4. Step 4: Simplify right side
    493.71x = 202,481.10
  5. Step 5: Solve for x
    x = 202,481.10/493.71
  6. Step 6: Final answer
    x = 410.12

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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.