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Finding the Fourth Proportional to 493.78, 681.34 and 297.26

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Solution

The fourth proportional to 493.78, 681.34 and 297.26 is: 410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.78 : 681.34 = 297.26 : x
  2. Step 2: Convert to fraction form
    493.78/681.34 = 297.26/x
  3. Step 3: Cross multiply
    493.78x = 681.34 × 297.26
  4. Step 4: Simplify right side
    493.78x = 202,535.13
  5. Step 5: Solve for x
    x = 202,535.13/493.78
  6. Step 6: Final answer
    x = 410.17

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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.