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Finding the Fourth Proportional to 883.16, 1,324.96 and 298.22

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Solution

The fourth proportional to 883.16, 1,324.96 and 298.22 is: 447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.16 : 1,324.96 = 298.22 : x
  2. Step 2: Convert to fraction form
    883.16/1,324.96 = 298.22/x
  3. Step 3: Cross multiply
    883.16x = 1,324.96 × 298.22
  4. Step 4: Simplify right side
    883.16x = 395,129.57
  5. Step 5: Solve for x
    x = 395,129.57/883.16
  6. Step 6: Final answer
    x = 447.40

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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.