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Finding the Fourth Proportional to 300.38, 414.46 and 176.04

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Solution

The fourth proportional to 300.38, 414.46 and 176.04 is: 242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.38 : 414.46 = 176.04 : x
  2. Step 2: Convert to fraction form
    300.38/414.46 = 176.04/x
  3. Step 3: Cross multiply
    300.38x = 414.46 × 176.04
  4. Step 4: Simplify right side
    300.38x = 72,959.47
  5. Step 5: Solve for x
    x = 72,959.47/300.38
  6. Step 6: Final answer
    x = 242.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.