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Finding the Fourth Proportional to 352.96, 527.20 and 271.52

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Solution

The fourth proportional to 352.96, 527.20 and 271.52 is: 405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.96 : 527.20 = 271.52 : x
  2. Step 2: Convert to fraction form
    352.96/527.20 = 271.52/x
  3. Step 3: Cross multiply
    352.96x = 527.20 × 271.52
  4. Step 4: Simplify right side
    352.96x = 143,145.34
  5. Step 5: Solve for x
    x = 143,145.34/352.96
  6. Step 6: Final answer
    x = 405.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.