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Finding the Fourth Proportional to 399.53, 552.02 and 301.11

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Solution

The fourth proportional to 399.53, 552.02 and 301.11 is: 416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.53 : 552.02 = 301.11 : x
  2. Step 2: Convert to fraction form
    399.53/552.02 = 301.11/x
  3. Step 3: Cross multiply
    399.53x = 552.02 × 301.11
  4. Step 4: Simplify right side
    399.53x = 166,218.74
  5. Step 5: Solve for x
    x = 166,218.74/399.53
  6. Step 6: Final answer
    x = 416.04

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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.