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Finding the Fourth Proportional to 399.33, 546.28 and 397.71

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Solution

The fourth proportional to 399.33, 546.28 and 397.71 is: 544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.33 : 546.28 = 397.71 : x
  2. Step 2: Convert to fraction form
    399.33/546.28 = 397.71/x
  3. Step 3: Cross multiply
    399.33x = 546.28 × 397.71
  4. Step 4: Simplify right side
    399.33x = 217,260.02
  5. Step 5: Solve for x
    x = 217,260.02/399.33
  6. Step 6: Final answer
    x = 544.06

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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.