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Finding the Fourth Proportional to 378.76, 519.19 and 372.38

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Solution

The fourth proportional to 378.76, 519.19 and 372.38 is: 510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.76 : 519.19 = 372.38 : x
  2. Step 2: Convert to fraction form
    378.76/519.19 = 372.38/x
  3. Step 3: Cross multiply
    378.76x = 519.19 × 372.38
  4. Step 4: Simplify right side
    378.76x = 193,336.34
  5. Step 5: Solve for x
    x = 193,336.34/378.76
  6. Step 6: Final answer
    x = 510.45

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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.