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Finding the Fourth Proportional to 387.81, 582.11 and 344.17

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Solution

The fourth proportional to 387.81, 582.11 and 344.17 is: 516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.81 : 582.11 = 344.17 : x
  2. Step 2: Convert to fraction form
    387.81/582.11 = 344.17/x
  3. Step 3: Cross multiply
    387.81x = 582.11 × 344.17
  4. Step 4: Simplify right side
    387.81x = 200,347.70
  5. Step 5: Solve for x
    x = 200,347.70/387.81
  6. Step 6: Final answer
    x = 516.61

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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.