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Finding the Fourth Proportional to 633.78, 951.48 and 268.26

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Solution

The fourth proportional to 633.78, 951.48 and 268.26 is: 402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.78 : 951.48 = 268.26 : x
  2. Step 2: Convert to fraction form
    633.78/951.48 = 268.26/x
  3. Step 3: Cross multiply
    633.78x = 951.48 × 268.26
  4. Step 4: Simplify right side
    633.78x = 255,244.02
  5. Step 5: Solve for x
    x = 255,244.02/633.78
  6. Step 6: Final answer
    x = 402.73

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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.