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Finding the Fourth Proportional to 394.80, 541.66 and 362.16

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Solution

The fourth proportional to 394.80, 541.66 and 362.16 is: 496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.80 : 541.66 = 362.16 : x
  2. Step 2: Convert to fraction form
    394.80/541.66 = 362.16/x
  3. Step 3: Cross multiply
    394.80x = 541.66 × 362.16
  4. Step 4: Simplify right side
    394.80x = 196,167.59
  5. Step 5: Solve for x
    x = 196,167.59/394.80
  6. Step 6: Final answer
    x = 496.88

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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.