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Finding the Fourth Proportional to 414.54, 571.50 and 309.78

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Solution

The fourth proportional to 414.54, 571.50 and 309.78 is: 427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.54 : 571.50 = 309.78 : x
  2. Step 2: Convert to fraction form
    414.54/571.50 = 309.78/x
  3. Step 3: Cross multiply
    414.54x = 571.50 × 309.78
  4. Step 4: Simplify right side
    414.54x = 177,039.27
  5. Step 5: Solve for x
    x = 177,039.27/414.54
  6. Step 6: Final answer
    x = 427.07

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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.