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Finding the Fourth Proportional to 843.27, 1,264.90 and 266.19

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Solution

The fourth proportional to 843.27, 1,264.90 and 266.19 is: 399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.27 : 1,264.90 = 266.19 : x
  2. Step 2: Convert to fraction form
    843.27/1,264.90 = 266.19/x
  3. Step 3: Cross multiply
    843.27x = 1,264.90 × 266.19
  4. Step 4: Simplify right side
    843.27x = 336,701.23
  5. Step 5: Solve for x
    x = 336,701.23/843.27
  6. Step 6: Final answer
    x = 399.28

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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.