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Finding the Fourth Proportional to 414.91, 622.52 and 183.77

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Solution

The fourth proportional to 414.91, 622.52 and 183.77 is: 275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.91 : 622.52 = 183.77 : x
  2. Step 2: Convert to fraction form
    414.91/622.52 = 183.77/x
  3. Step 3: Cross multiply
    414.91x = 622.52 × 183.77
  4. Step 4: Simplify right side
    414.91x = 114,400.50
  5. Step 5: Solve for x
    x = 114,400.50/414.91
  6. Step 6: Final answer
    x = 275.72

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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.