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Finding the Fourth Proportional to 399.70, 552.44 and 301.28

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Solution

The fourth proportional to 399.70, 552.44 and 301.28 is: 416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.70 : 552.44 = 301.28 : x
  2. Step 2: Convert to fraction form
    399.70/552.44 = 301.28/x
  3. Step 3: Cross multiply
    399.70x = 552.44 × 301.28
  4. Step 4: Simplify right side
    399.70x = 166,437.62
  5. Step 5: Solve for x
    x = 166,437.62/399.70
  6. Step 6: Final answer
    x = 416.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.