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Finding the Fourth Proportional to 881.26, 1,322.25 and 296.50

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Solution

The fourth proportional to 881.26, 1,322.25 and 296.50 is: 444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.26 : 1,322.25 = 296.50 : x
  2. Step 2: Convert to fraction form
    881.26/1,322.25 = 296.50/x
  3. Step 3: Cross multiply
    881.26x = 1,322.25 × 296.50
  4. Step 4: Simplify right side
    881.26x = 392,047.13
  5. Step 5: Solve for x
    x = 392,047.13/881.26
  6. Step 6: Final answer
    x = 444.87

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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.