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Finding the Fourth Proportional to 378.10, 569.50 and 344.89

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Solution

The fourth proportional to 378.10, 569.50 and 344.89 is: 519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.10 : 569.50 = 344.89 : x
  2. Step 2: Convert to fraction form
    378.10/569.50 = 344.89/x
  3. Step 3: Cross multiply
    378.10x = 569.50 × 344.89
  4. Step 4: Simplify right side
    378.10x = 196,414.86
  5. Step 5: Solve for x
    x = 196,414.86/378.10
  6. Step 6: Final answer
    x = 519.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.