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Finding the Fourth Proportional to 381.69, 574.61 and 342

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Solution

The fourth proportional to 381.69, 574.61 and 342 is: 514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.69 : 574.61 = 342 : x
  2. Step 2: Convert to fraction form
    381.69/574.61 = 342/x
  3. Step 3: Cross multiply
    381.69x = 574.61 × 342
  4. Step 4: Simplify right side
    381.69x = 196,514.91
  5. Step 5: Solve for x
    x = 196,514.91/381.69
  6. Step 6: Final answer
    x = 514.85

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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.