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Finding the Fourth Proportional to 526.43, 789.42 and 266.27

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Solution

The fourth proportional to 526.43, 789.42 and 266.27 is: 399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.43 : 789.42 = 266.27 : x
  2. Step 2: Convert to fraction form
    526.43/789.42 = 266.27/x
  3. Step 3: Cross multiply
    526.43x = 789.42 × 266.27
  4. Step 4: Simplify right side
    526.43x = 210,198.86
  5. Step 5: Solve for x
    x = 210,198.86/526.43
  6. Step 6: Final answer
    x = 399.29

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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.