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Finding the Fourth Proportional to 412.49, 617.78 and 267.77

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Solution

The fourth proportional to 412.49, 617.78 and 267.77 is: 401.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.49 : 617.78 = 267.77 : x
  2. Step 2: Convert to fraction form
    412.49/617.78 = 267.77/x
  3. Step 3: Cross multiply
    412.49x = 617.78 × 267.77
  4. Step 4: Simplify right side
    412.49x = 165,418.52
  5. Step 5: Solve for x
    x = 165,418.52/412.49
  6. Step 6: Final answer
    x = 401.03

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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.