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Finding the Fourth Proportional to 414.02, 571.01 and 301.99

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Solution

The fourth proportional to 414.02, 571.01 and 301.99 is: 416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.02 : 571.01 = 301.99 : x
  2. Step 2: Convert to fraction form
    414.02/571.01 = 301.99/x
  3. Step 3: Cross multiply
    414.02x = 571.01 × 301.99
  4. Step 4: Simplify right side
    414.02x = 172,436.37
  5. Step 5: Solve for x
    x = 172,436.37/414.02
  6. Step 6: Final answer
    x = 416.49

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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.