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Finding the Fourth Proportional to 352.47, 486.63 and 221.67

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Solution

The fourth proportional to 352.47, 486.63 and 221.67 is: 306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.47 : 486.63 = 221.67 : x
  2. Step 2: Convert to fraction form
    352.47/486.63 = 221.67/x
  3. Step 3: Cross multiply
    352.47x = 486.63 × 221.67
  4. Step 4: Simplify right side
    352.47x = 107,871.27
  5. Step 5: Solve for x
    x = 107,871.27/352.47
  6. Step 6: Final answer
    x = 306.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.