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Finding the Fourth Proportional to 311.45, 429.81 and 171.59

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Solution

The fourth proportional to 311.45, 429.81 and 171.59 is: 236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.45 : 429.81 = 171.59 : x
  2. Step 2: Convert to fraction form
    311.45/429.81 = 171.59/x
  3. Step 3: Cross multiply
    311.45x = 429.81 × 171.59
  4. Step 4: Simplify right side
    311.45x = 73,748.95
  5. Step 5: Solve for x
    x = 73,748.95/311.45
  6. Step 6: Final answer
    x = 236.80

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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.