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Finding the Fourth Proportional to 493.69, 681.38 and 297.22

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Solution

The fourth proportional to 493.69, 681.38 and 297.22 is: 410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.69 : 681.38 = 297.22 : x
  2. Step 2: Convert to fraction form
    493.69/681.38 = 297.22/x
  3. Step 3: Cross multiply
    493.69x = 681.38 × 297.22
  4. Step 4: Simplify right side
    493.69x = 202,518.28
  5. Step 5: Solve for x
    x = 202,518.28/493.69
  6. Step 6: Final answer
    x = 410.21

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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.