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Finding the Fourth Proportional to 406.44, 610.32 and 267.84

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Solution

The fourth proportional to 406.44, 610.32 and 267.84 is: 402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.44 : 610.32 = 267.84 : x
  2. Step 2: Convert to fraction form
    406.44/610.32 = 267.84/x
  3. Step 3: Cross multiply
    406.44x = 610.32 × 267.84
  4. Step 4: Simplify right side
    406.44x = 163,468.11
  5. Step 5: Solve for x
    x = 163,468.11/406.44
  6. Step 6: Final answer
    x = 402.19

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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.