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Finding the Fourth Proportional to 398.60, 547.02 and 361.66

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Solution

The fourth proportional to 398.60, 547.02 and 361.66 is: 496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.60 : 547.02 = 361.66 : x
  2. Step 2: Convert to fraction form
    398.60/547.02 = 361.66/x
  3. Step 3: Cross multiply
    398.60x = 547.02 × 361.66
  4. Step 4: Simplify right side
    398.60x = 197,835.25
  5. Step 5: Solve for x
    x = 197,835.25/398.60
  6. Step 6: Final answer
    x = 496.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.