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Finding the Fourth Proportional to 300.12, 447.60 and 296.16

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Solution

The fourth proportional to 300.12, 447.60 and 296.16 is: 441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.12 : 447.60 = 296.16 : x
  2. Step 2: Convert to fraction form
    300.12/447.60 = 296.16/x
  3. Step 3: Cross multiply
    300.12x = 447.60 × 296.16
  4. Step 4: Simplify right side
    300.12x = 132,561.22
  5. Step 5: Solve for x
    x = 132,561.22/300.12
  6. Step 6: Final answer
    x = 441.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.