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Finding the Fourth Proportional to 427.67, 641.71 and 196.53

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Solution

The fourth proportional to 427.67, 641.71 and 196.53 is: 294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.67 : 641.71 = 196.53 : x
  2. Step 2: Convert to fraction form
    427.67/641.71 = 196.53/x
  3. Step 3: Cross multiply
    427.67x = 641.71 × 196.53
  4. Step 4: Simplify right side
    427.67x = 126,114.77
  5. Step 5: Solve for x
    x = 126,114.77/427.67
  6. Step 6: Final answer
    x = 294.89

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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.