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Finding the Fourth Proportional to 816.42, 1,223.94 and 268.46

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Solution

The fourth proportional to 816.42, 1,223.94 and 268.46 is: 402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.42 : 1,223.94 = 268.46 : x
  2. Step 2: Convert to fraction form
    816.42/1,223.94 = 268.46/x
  3. Step 3: Cross multiply
    816.42x = 1,223.94 × 268.46
  4. Step 4: Simplify right side
    816.42x = 328,578.93
  5. Step 5: Solve for x
    x = 328,578.93/816.42
  6. Step 6: Final answer
    x = 402.46

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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.