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Finding the Fourth Proportional to 352.23, 527.72 and 197.76

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Solution

The fourth proportional to 352.23, 527.72 and 197.76 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.23 : 527.72 = 197.76 : x
  2. Step 2: Convert to fraction form
    352.23/527.72 = 197.76/x
  3. Step 3: Cross multiply
    352.23x = 527.72 × 197.76
  4. Step 4: Simplify right side
    352.23x = 104,360.92
  5. Step 5: Solve for x
    x = 104,360.92/352.23
  6. Step 6: Final answer
    x = 296.29

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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.