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Finding the Fourth Proportional to 299.04, 414.53 and 287.49

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Solution

The fourth proportional to 299.04, 414.53 and 287.49 is: 398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.04 : 414.53 = 287.49 : x
  2. Step 2: Convert to fraction form
    299.04/414.53 = 287.49/x
  3. Step 3: Cross multiply
    299.04x = 414.53 × 287.49
  4. Step 4: Simplify right side
    299.04x = 119,173.23
  5. Step 5: Solve for x
    x = 119,173.23/299.04
  6. Step 6: Final answer
    x = 398.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.