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Finding the Fourth Proportional to 680.15, 938.37 and 385.35

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Solution

The fourth proportional to 680.15, 938.37 and 385.35 is: 531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.15 : 938.37 = 385.35 : x
  2. Step 2: Convert to fraction form
    680.15/938.37 = 385.35/x
  3. Step 3: Cross multiply
    680.15x = 938.37 × 385.35
  4. Step 4: Simplify right side
    680.15x = 361,600.88
  5. Step 5: Solve for x
    x = 361,600.88/680.15
  6. Step 6: Final answer
    x = 531.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.