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Finding the Fourth Proportional to 381.08, 569.01 and 312.73

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Solution

The fourth proportional to 381.08, 569.01 and 312.73 is: 466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.08 : 569.01 = 312.73 : x
  2. Step 2: Convert to fraction form
    381.08/569.01 = 312.73/x
  3. Step 3: Cross multiply
    381.08x = 569.01 × 312.73
  4. Step 4: Simplify right side
    381.08x = 177,947.21
  5. Step 5: Solve for x
    x = 177,947.21/381.08
  6. Step 6: Final answer
    x = 466.96

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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.