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Finding the Fourth Proportional to 493, 680.42 and 286.12

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Solution

The fourth proportional to 493, 680.42 and 286.12 is: 394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    493 : 680.42 = 286.12 : x
  2. Step 2: Convert to fraction form
    493/680.42 = 286.12/x
  3. Step 3: Cross multiply
    493x = 680.42 × 286.12
  4. Step 4: Simplify right side
    493x = 194,681.77
  5. Step 5: Solve for x
    x = 194,681.77/493
  6. Step 6: Final answer
    x = 394.89

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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.