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Finding the Fourth Proportional to 394.72, 544.66 and 261.88

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Solution

The fourth proportional to 394.72, 544.66 and 261.88 is: 361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.72 : 544.66 = 261.88 : x
  2. Step 2: Convert to fraction form
    394.72/544.66 = 261.88/x
  3. Step 3: Cross multiply
    394.72x = 544.66 × 261.88
  4. Step 4: Simplify right side
    394.72x = 142,635.56
  5. Step 5: Solve for x
    x = 142,635.56/394.72
  6. Step 6: Final answer
    x = 361.36

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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.