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Finding the Fourth Proportional to 406.46, 609.08 and 261.88

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Solution

The fourth proportional to 406.46, 609.08 and 261.88 is: 392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.46 : 609.08 = 261.88 : x
  2. Step 2: Convert to fraction form
    406.46/609.08 = 261.88/x
  3. Step 3: Cross multiply
    406.46x = 609.08 × 261.88
  4. Step 4: Simplify right side
    406.46x = 159,505.87
  5. Step 5: Solve for x
    x = 159,505.87/406.46
  6. Step 6: Final answer
    x = 392.43

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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.