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Finding the Fourth Proportional to 299.88, 446.87 and 290.08

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Solution

The fourth proportional to 299.88, 446.87 and 290.08 is: 432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.88 : 446.87 = 290.08 : x
  2. Step 2: Convert to fraction form
    299.88/446.87 = 290.08/x
  3. Step 3: Cross multiply
    299.88x = 446.87 × 290.08
  4. Step 4: Simplify right side
    299.88x = 129,628.05
  5. Step 5: Solve for x
    x = 129,628.05/299.88
  6. Step 6: Final answer
    x = 432.27

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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.