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Finding the Fourth Proportional to 921.96, 1,382.96 and 305.76

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Solution

The fourth proportional to 921.96, 1,382.96 and 305.76 is: 458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.96 : 1,382.96 = 305.76 : x
  2. Step 2: Convert to fraction form
    921.96/1,382.96 = 305.76/x
  3. Step 3: Cross multiply
    921.96x = 1,382.96 × 305.76
  4. Step 4: Simplify right side
    921.96x = 422,853.85
  5. Step 5: Solve for x
    x = 422,853.85/921.96
  6. Step 6: Final answer
    x = 458.65

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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.