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Finding the Fourth Proportional to 306.96, 423.92 and 263.04

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Solution

The fourth proportional to 306.96, 423.92 and 263.04 is: 363.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.96 : 423.92 = 263.04 : x
  2. Step 2: Convert to fraction form
    306.96/423.92 = 263.04/x
  3. Step 3: Cross multiply
    306.96x = 423.92 × 263.04
  4. Step 4: Simplify right side
    306.96x = 111,507.92
  5. Step 5: Solve for x
    x = 111,507.92/306.96
  6. Step 6: Final answer
    x = 363.27

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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.