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Finding the Fourth Proportional to 311.21, 429.47 and 171.33

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Solution

The fourth proportional to 311.21, 429.47 and 171.33 is: 236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.21 : 429.47 = 171.33 : x
  2. Step 2: Convert to fraction form
    311.21/429.47 = 171.33/x
  3. Step 3: Cross multiply
    311.21x = 429.47 × 171.33
  4. Step 4: Simplify right side
    311.21x = 73,581.10
  5. Step 5: Solve for x
    x = 73,581.10/311.21
  6. Step 6: Final answer
    x = 236.44

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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.