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Finding the Fourth Proportional to 493.10, 680.39 and 293.87

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Solution

The fourth proportional to 493.10, 680.39 and 293.87 is: 405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.10 : 680.39 = 293.87 : x
  2. Step 2: Convert to fraction form
    493.10/680.39 = 293.87/x
  3. Step 3: Cross multiply
    493.10x = 680.39 × 293.87
  4. Step 4: Simplify right side
    493.10x = 199,942.81
  5. Step 5: Solve for x
    x = 199,942.81/493.10
  6. Step 6: Final answer
    x = 405.49

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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.