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Finding the Fourth Proportional to 300.26, 414.15 and 183.89

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Solution

The fourth proportional to 300.26, 414.15 and 183.89 is: 253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.26 : 414.15 = 183.89 : x
  2. Step 2: Convert to fraction form
    300.26/414.15 = 183.89/x
  3. Step 3: Cross multiply
    300.26x = 414.15 × 183.89
  4. Step 4: Simplify right side
    300.26x = 76,155.97
  5. Step 5: Solve for x
    x = 76,155.97/300.26
  6. Step 6: Final answer
    x = 253.64

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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.