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Finding the Fourth Proportional to 300.16, 450.78 and 287.20

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Solution

The fourth proportional to 300.16, 450.78 and 287.20 is: 431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.16 : 450.78 = 287.20 : x
  2. Step 2: Convert to fraction form
    300.16/450.78 = 287.20/x
  3. Step 3: Cross multiply
    300.16x = 450.78 × 287.20
  4. Step 4: Simplify right side
    300.16x = 129,464.02
  5. Step 5: Solve for x
    x = 129,464.02/300.16
  6. Step 6: Final answer
    x = 431.32

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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.