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Finding the Fourth Proportional to 381.87, 569.15 and 308.43

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Solution

The fourth proportional to 381.87, 569.15 and 308.43 is: 459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.87 : 569.15 = 308.43 : x
  2. Step 2: Convert to fraction form
    381.87/569.15 = 308.43/x
  3. Step 3: Cross multiply
    381.87x = 569.15 × 308.43
  4. Step 4: Simplify right side
    381.87x = 175,541.39
  5. Step 5: Solve for x
    x = 175,541.39/381.87
  6. Step 6: Final answer
    x = 459.69

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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.