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Finding the Fourth Proportional to 300.16, 447.72 and 287.20

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Solution

The fourth proportional to 300.16, 447.72 and 287.20 is: 428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.16 : 447.72 = 287.20 : x
  2. Step 2: Convert to fraction form
    300.16/447.72 = 287.20/x
  3. Step 3: Cross multiply
    300.16x = 447.72 × 287.20
  4. Step 4: Simplify right side
    300.16x = 128,585.18
  5. Step 5: Solve for x
    x = 128,585.18/300.16
  6. Step 6: Final answer
    x = 428.39

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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.