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Finding the Fourth Proportional to 353.24, 486.25 and 305.96

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Solution

The fourth proportional to 353.24, 486.25 and 305.96 is: 421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.24 : 486.25 = 305.96 : x
  2. Step 2: Convert to fraction form
    353.24/486.25 = 305.96/x
  3. Step 3: Cross multiply
    353.24x = 486.25 × 305.96
  4. Step 4: Simplify right side
    353.24x = 148,769.09
  5. Step 5: Solve for x
    x = 148,769.09/353.24
  6. Step 6: Final answer
    x = 421.16

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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.