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Finding the Fourth Proportional to 300.80, 417.24 and 274.88

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Solution

The fourth proportional to 300.80, 417.24 and 274.88 is: 381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.80 : 417.24 = 274.88 : x
  2. Step 2: Convert to fraction form
    300.80/417.24 = 274.88/x
  3. Step 3: Cross multiply
    300.80x = 417.24 × 274.88
  4. Step 4: Simplify right side
    300.80x = 114,690.93
  5. Step 5: Solve for x
    x = 114,690.93/300.80
  6. Step 6: Final answer
    x = 381.29

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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.