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Finding the Fourth Proportional to 387.86, 580.04 and 344.78

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Solution

The fourth proportional to 387.86, 580.04 and 344.78 is: 515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.86 : 580.04 = 344.78 : x
  2. Step 2: Convert to fraction form
    387.86/580.04 = 344.78/x
  3. Step 3: Cross multiply
    387.86x = 580.04 × 344.78
  4. Step 4: Simplify right side
    387.86x = 199,986.19
  5. Step 5: Solve for x
    x = 199,986.19/387.86
  6. Step 6: Final answer
    x = 515.61

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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.