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Finding the Fourth Proportional to 399.64, 546.57 and 398.20

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Solution

The fourth proportional to 399.64, 546.57 and 398.20 is: 544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.64 : 546.57 = 398.20 : x
  2. Step 2: Convert to fraction form
    399.64/546.57 = 398.20/x
  3. Step 3: Cross multiply
    399.64x = 546.57 × 398.20
  4. Step 4: Simplify right side
    399.64x = 217,644.17
  5. Step 5: Solve for x
    x = 217,644.17/399.64
  6. Step 6: Final answer
    x = 544.60

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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.