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Finding the Fourth Proportional to 299.49, 449.32 and 145.42

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Solution

The fourth proportional to 299.49, 449.32 and 145.42 is: 218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.49 : 449.32 = 145.42 : x
  2. Step 2: Convert to fraction form
    299.49/449.32 = 145.42/x
  3. Step 3: Cross multiply
    299.49x = 449.32 × 145.42
  4. Step 4: Simplify right side
    299.49x = 65,338.90
  5. Step 5: Solve for x
    x = 65,338.90/299.49
  6. Step 6: Final answer
    x = 218.17

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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.