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Finding the Fourth Proportional to 300.56, 411.58 and 283.91

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Solution

The fourth proportional to 300.56, 411.58 and 283.91 is: 388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.56 : 411.58 = 283.91 : x
  2. Step 2: Convert to fraction form
    300.56/411.58 = 283.91/x
  3. Step 3: Cross multiply
    300.56x = 411.58 × 283.91
  4. Step 4: Simplify right side
    300.56x = 116,849.97
  5. Step 5: Solve for x
    x = 116,849.97/300.56
  6. Step 6: Final answer
    x = 388.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.