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Finding the Fourth Proportional to 568.26, 851.34 and 293.68

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Solution

The fourth proportional to 568.26, 851.34 and 293.68 is: 439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.26 : 851.34 = 293.68 : x
  2. Step 2: Convert to fraction form
    568.26/851.34 = 293.68/x
  3. Step 3: Cross multiply
    568.26x = 851.34 × 293.68
  4. Step 4: Simplify right side
    568.26x = 250,021.53
  5. Step 5: Solve for x
    x = 250,021.53/568.26
  6. Step 6: Final answer
    x = 439.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.