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Finding the Fourth Proportional to 299.88, 447.29 and 290.77

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Solution

The fourth proportional to 299.88, 447.29 and 290.77 is: 433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.88 : 447.29 = 290.77 : x
  2. Step 2: Convert to fraction form
    299.88/447.29 = 290.77/x
  3. Step 3: Cross multiply
    299.88x = 447.29 × 290.77
  4. Step 4: Simplify right side
    299.88x = 130,057.03
  5. Step 5: Solve for x
    x = 130,057.03/299.88
  6. Step 6: Final answer
    x = 433.70

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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.