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Finding the Fourth Proportional to 450.11, 673.94 and 287.30

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Solution

The fourth proportional to 450.11, 673.94 and 287.30 is: 430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.11 : 673.94 = 287.30 : x
  2. Step 2: Convert to fraction form
    450.11/673.94 = 287.30/x
  3. Step 3: Cross multiply
    450.11x = 673.94 × 287.30
  4. Step 4: Simplify right side
    450.11x = 193,618.16
  5. Step 5: Solve for x
    x = 193,618.16/450.11
  6. Step 6: Final answer
    x = 430.16

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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.