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Finding the Fourth Proportional to 398.29, 546.70 and 381.38

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Solution

The fourth proportional to 398.29, 546.70 and 381.38 is: 523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.29 : 546.70 = 381.38 : x
  2. Step 2: Convert to fraction form
    398.29/546.70 = 381.38/x
  3. Step 3: Cross multiply
    398.29x = 546.70 × 381.38
  4. Step 4: Simplify right side
    398.29x = 208,500.45
  5. Step 5: Solve for x
    x = 208,500.45/398.29
  6. Step 6: Final answer
    x = 523.49

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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.