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Finding the Fourth Proportional to 399.87, 552.15 and 301.46

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Solution

The fourth proportional to 399.87, 552.15 and 301.46 is: 416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.87 : 552.15 = 301.46 : x
  2. Step 2: Convert to fraction form
    399.87/552.15 = 301.46/x
  3. Step 3: Cross multiply
    399.87x = 552.15 × 301.46
  4. Step 4: Simplify right side
    399.87x = 166,448.38
  5. Step 5: Solve for x
    x = 166,448.38/399.87
  6. Step 6: Final answer
    x = 416.26

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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.