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Finding the Fourth Proportional to 439.43, 658.26 and 266.00

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Solution

The fourth proportional to 439.43, 658.26 and 266.00 is: 398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.43 : 658.26 = 266.00 : x
  2. Step 2: Convert to fraction form
    439.43/658.26 = 266.00/x
  3. Step 3: Cross multiply
    439.43x = 658.26 × 266.00
  4. Step 4: Simplify right side
    439.43x = 175,097.57
  5. Step 5: Solve for x
    x = 175,097.57/439.43
  6. Step 6: Final answer
    x = 398.47

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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.