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Finding the Fourth Proportional to 386.35, 576.07 and 381.56

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Solution

The fourth proportional to 386.35, 576.07 and 381.56 is: 568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.35 : 576.07 = 381.56 : x
  2. Step 2: Convert to fraction form
    386.35/576.07 = 381.56/x
  3. Step 3: Cross multiply
    386.35x = 576.07 × 381.56
  4. Step 4: Simplify right side
    386.35x = 219,801.43
  5. Step 5: Solve for x
    x = 219,801.43/386.35
  6. Step 6: Final answer
    x = 568.92

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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.