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Finding the Fourth Proportional to 300.40, 449.97 and 242.32

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Solution

The fourth proportional to 300.40, 449.97 and 242.32 is: 362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.40 : 449.97 = 242.32 : x
  2. Step 2: Convert to fraction form
    300.40/449.97 = 242.32/x
  3. Step 3: Cross multiply
    300.40x = 449.97 × 242.32
  4. Step 4: Simplify right side
    300.40x = 109,036.73
  5. Step 5: Solve for x
    x = 109,036.73/300.40
  6. Step 6: Final answer
    x = 362.97

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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.