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Finding the Fourth Proportional to 493.71, 681.35 and 297.33

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Solution

The fourth proportional to 493.71, 681.35 and 297.33 is: 410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.71 : 681.35 = 297.33 : x
  2. Step 2: Convert to fraction form
    493.71/681.35 = 297.33/x
  3. Step 3: Cross multiply
    493.71x = 681.35 × 297.33
  4. Step 4: Simplify right side
    493.71x = 202,584.31
  5. Step 5: Solve for x
    x = 202,584.31/493.71
  6. Step 6: Final answer
    x = 410.33

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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.