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Finding the Fourth Proportional to 378.80, 519.80 and 375.16

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Solution

The fourth proportional to 378.80, 519.80 and 375.16 is: 514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.80 : 519.80 = 375.16 : x
  2. Step 2: Convert to fraction form
    378.80/519.80 = 375.16/x
  3. Step 3: Cross multiply
    378.80x = 519.80 × 375.16
  4. Step 4: Simplify right side
    378.80x = 195,008.17
  5. Step 5: Solve for x
    x = 195,008.17/378.80
  6. Step 6: Final answer
    x = 514.81

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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.