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Finding the Fourth Proportional to 391.82, 540.93 and 261

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Solution

The fourth proportional to 391.82, 540.93 and 261 is: 360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.82 : 540.93 = 261 : x
  2. Step 2: Convert to fraction form
    391.82/540.93 = 261/x
  3. Step 3: Cross multiply
    391.82x = 540.93 × 261
  4. Step 4: Simplify right side
    391.82x = 141,181.43
  5. Step 5: Solve for x
    x = 141,181.43/391.82
  6. Step 6: Final answer
    x = 360.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.