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Finding the Fourth Proportional to 427.34, 641.46 and 211.08

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Solution

The fourth proportional to 427.34, 641.46 and 211.08 is: 316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.34 : 641.46 = 211.08 : x
  2. Step 2: Convert to fraction form
    427.34/641.46 = 211.08/x
  3. Step 3: Cross multiply
    427.34x = 641.46 × 211.08
  4. Step 4: Simplify right side
    427.34x = 135,399.38
  5. Step 5: Solve for x
    x = 135,399.38/427.34
  6. Step 6: Final answer
    x = 316.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.