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Finding the Fourth Proportional to 381.74, 569.73 and 344.84

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Solution

The fourth proportional to 381.74, 569.73 and 344.84 is: 514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.74 : 569.73 = 344.84 : x
  2. Step 2: Convert to fraction form
    381.74/569.73 = 344.84/x
  3. Step 3: Cross multiply
    381.74x = 569.73 × 344.84
  4. Step 4: Simplify right side
    381.74x = 196,464.15
  5. Step 5: Solve for x
    x = 196,464.15/381.74
  6. Step 6: Final answer
    x = 514.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.