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Finding the Fourth Proportional to 363.83, 547.87 and 261.82

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Solution

The fourth proportional to 363.83, 547.87 and 261.82 is: 394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.83 : 547.87 = 261.82 : x
  2. Step 2: Convert to fraction form
    363.83/547.87 = 261.82/x
  3. Step 3: Cross multiply
    363.83x = 547.87 × 261.82
  4. Step 4: Simplify right side
    363.83x = 143,443.32
  5. Step 5: Solve for x
    x = 143,443.32/363.83
  6. Step 6: Final answer
    x = 394.26

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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.