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Finding the Fourth Proportional to 299.16, 451.41 and 287.91

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Solution

The fourth proportional to 299.16, 451.41 and 287.91 is: 434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.16 : 451.41 = 287.91 : x
  2. Step 2: Convert to fraction form
    299.16/451.41 = 287.91/x
  3. Step 3: Cross multiply
    299.16x = 451.41 × 287.91
  4. Step 4: Simplify right side
    299.16x = 129,965.45
  5. Step 5: Solve for x
    x = 129,965.45/299.16
  6. Step 6: Final answer
    x = 434.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.