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Finding the Fourth Proportional to 445.28, 667.04 and 259.66

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Solution

The fourth proportional to 445.28, 667.04 and 259.66 is: 388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.28 : 667.04 = 259.66 : x
  2. Step 2: Convert to fraction form
    445.28/667.04 = 259.66/x
  3. Step 3: Cross multiply
    445.28x = 667.04 × 259.66
  4. Step 4: Simplify right side
    445.28x = 173,199.39
  5. Step 5: Solve for x
    x = 173,199.39/445.28
  6. Step 6: Final answer
    x = 388.97

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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.