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Finding the Fourth Proportional to 414.33, 623.90 and 299.56

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Solution

The fourth proportional to 414.33, 623.90 and 299.56 is: 451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.33 : 623.90 = 299.56 : x
  2. Step 2: Convert to fraction form
    414.33/623.90 = 299.56/x
  3. Step 3: Cross multiply
    414.33x = 623.90 × 299.56
  4. Step 4: Simplify right side
    414.33x = 186,895.48
  5. Step 5: Solve for x
    x = 186,895.48/414.33
  6. Step 6: Final answer
    x = 451.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.