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Finding the Fourth Proportional to 493.26, 680.42 and 296.66

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Solution

The fourth proportional to 493.26, 680.42 and 296.66 is: 409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.26 : 680.42 = 296.66 : x
  2. Step 2: Convert to fraction form
    493.26/680.42 = 296.66/x
  3. Step 3: Cross multiply
    493.26x = 680.42 × 296.66
  4. Step 4: Simplify right side
    493.26x = 201,848.51
  5. Step 5: Solve for x
    x = 201,848.51/493.26
  6. Step 6: Final answer
    x = 409.21

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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.