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Finding the Fourth Proportional to 427.72, 641.60 and 281.76

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Solution

The fourth proportional to 427.72, 641.60 and 281.76 is: 422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.72 : 641.60 = 281.76 : x
  2. Step 2: Convert to fraction form
    427.72/641.60 = 281.76/x
  3. Step 3: Cross multiply
    427.72x = 641.60 × 281.76
  4. Step 4: Simplify right side
    427.72x = 180,777.22
  5. Step 5: Solve for x
    x = 180,777.22/427.72
  6. Step 6: Final answer
    x = 422.65

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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.