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Finding the Fourth Proportional to 399.89, 552.03 and 301.68

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Solution

The fourth proportional to 399.89, 552.03 and 301.68 is: 416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.89 : 552.03 = 301.68 : x
  2. Step 2: Convert to fraction form
    399.89/552.03 = 301.68/x
  3. Step 3: Cross multiply
    399.89x = 552.03 × 301.68
  4. Step 4: Simplify right side
    399.89x = 166,536.41
  5. Step 5: Solve for x
    x = 166,536.41/399.89
  6. Step 6: Final answer
    x = 416.46

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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.