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Finding the Fourth Proportional to 350.02, 523.22 and 272.08

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Solution

The fourth proportional to 350.02, 523.22 and 272.08 is: 406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.02 : 523.22 = 272.08 : x
  2. Step 2: Convert to fraction form
    350.02/523.22 = 272.08/x
  3. Step 3: Cross multiply
    350.02x = 523.22 × 272.08
  4. Step 4: Simplify right side
    350.02x = 142,357.70
  5. Step 5: Solve for x
    x = 142,357.70/350.02
  6. Step 6: Final answer
    x = 406.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.