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Finding the Fourth Proportional to 296.64, 444.90 and 80.23

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Solution

The fourth proportional to 296.64, 444.90 and 80.23 is: 120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.64 : 444.90 = 80.23 : x
  2. Step 2: Convert to fraction form
    296.64/444.90 = 80.23/x
  3. Step 3: Cross multiply
    296.64x = 444.90 × 80.23
  4. Step 4: Simplify right side
    296.64x = 35,694.33
  5. Step 5: Solve for x
    x = 35,694.33/296.64
  6. Step 6: Final answer
    x = 120.33

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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.