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Finding the Fourth Proportional to 378.08, 517.98 and 377

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Solution

The fourth proportional to 378.08, 517.98 and 377 is: 516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.08 : 517.98 = 377 : x
  2. Step 2: Convert to fraction form
    378.08/517.98 = 377/x
  3. Step 3: Cross multiply
    378.08x = 517.98 × 377
  4. Step 4: Simplify right side
    378.08x = 195,278.46
  5. Step 5: Solve for x
    x = 195,278.46/378.08
  6. Step 6: Final answer
    x = 516.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.