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Finding the Fourth Proportional to 493.51, 680.83 and 296.91

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Solution

The fourth proportional to 493.51, 680.83 and 296.91 is: 409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.51 : 680.83 = 296.91 : x
  2. Step 2: Convert to fraction form
    493.51/680.83 = 296.91/x
  3. Step 3: Cross multiply
    493.51x = 680.83 × 296.91
  4. Step 4: Simplify right side
    493.51x = 202,144.49
  5. Step 5: Solve for x
    x = 202,144.49/493.51
  6. Step 6: Final answer
    x = 409.61

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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.