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Finding the Fourth Proportional to 398.28, 552.16 and 376.40

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Solution

The fourth proportional to 398.28, 552.16 and 376.40 is: 521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.28 : 552.16 = 376.40 : x
  2. Step 2: Convert to fraction form
    398.28/552.16 = 376.40/x
  3. Step 3: Cross multiply
    398.28x = 552.16 × 376.40
  4. Step 4: Simplify right side
    398.28x = 207,833.02
  5. Step 5: Solve for x
    x = 207,833.02/398.28
  6. Step 6: Final answer
    x = 521.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.