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Finding the Fourth Proportional to 493.51, 680.72 and 296.81

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Solution

The fourth proportional to 493.51, 680.72 and 296.81 is: 409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.51 : 680.72 = 296.81 : x
  2. Step 2: Convert to fraction form
    493.51/680.72 = 296.81/x
  3. Step 3: Cross multiply
    493.51x = 680.72 × 296.81
  4. Step 4: Simplify right side
    493.51x = 202,044.72
  5. Step 5: Solve for x
    x = 202,044.72/493.51
  6. Step 6: Final answer
    x = 409.41

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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.