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Finding the Fourth Proportional to 816.07, 1,224.20 and 268.31

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Solution

The fourth proportional to 816.07, 1,224.20 and 268.31 is: 402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.07 : 1,224.20 = 268.31 : x
  2. Step 2: Convert to fraction form
    816.07/1,224.20 = 268.31/x
  3. Step 3: Cross multiply
    816.07x = 1,224.20 × 268.31
  4. Step 4: Simplify right side
    816.07x = 328,458.98
  5. Step 5: Solve for x
    x = 328,458.98/816.07
  6. Step 6: Final answer
    x = 402.49

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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.