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Finding the Fourth Proportional to 531.14, 796.76 and 271.03

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Solution

The fourth proportional to 531.14, 796.76 and 271.03 is: 406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.14 : 796.76 = 271.03 : x
  2. Step 2: Convert to fraction form
    531.14/796.76 = 271.03/x
  3. Step 3: Cross multiply
    531.14x = 796.76 × 271.03
  4. Step 4: Simplify right side
    531.14x = 215,945.86
  5. Step 5: Solve for x
    x = 215,945.86/531.14
  6. Step 6: Final answer
    x = 406.57

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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.