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Finding the Fourth Proportional to 414.55, 621.66 and 183.28

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Solution

The fourth proportional to 414.55, 621.66 and 183.28 is: 274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.55 : 621.66 = 183.28 : x
  2. Step 2: Convert to fraction form
    414.55/621.66 = 183.28/x
  3. Step 3: Cross multiply
    414.55x = 621.66 × 183.28
  4. Step 4: Simplify right side
    414.55x = 113,938.28
  5. Step 5: Solve for x
    x = 113,938.28/414.55
  6. Step 6: Final answer
    x = 274.85

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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.