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Finding the Fourth Proportional to 400.40, 546.82 and 396.08

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Solution

The fourth proportional to 400.40, 546.82 and 396.08 is: 540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.40 : 546.82 = 396.08 : x
  2. Step 2: Convert to fraction form
    400.40/546.82 = 396.08/x
  3. Step 3: Cross multiply
    400.40x = 546.82 × 396.08
  4. Step 4: Simplify right side
    400.40x = 216,584.47
  5. Step 5: Solve for x
    x = 216,584.47/400.40
  6. Step 6: Final answer
    x = 540.92

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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.