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Finding the Fourth Proportional to 397.86, 547.79 and 361.41

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Solution

The fourth proportional to 397.86, 547.79 and 361.41 is: 497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.86 : 547.79 = 361.41 : x
  2. Step 2: Convert to fraction form
    397.86/547.79 = 361.41/x
  3. Step 3: Cross multiply
    397.86x = 547.79 × 361.41
  4. Step 4: Simplify right side
    397.86x = 197,976.78
  5. Step 5: Solve for x
    x = 197,976.78/397.86
  6. Step 6: Final answer
    x = 497.60

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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.