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Finding the Fourth Proportional to 414.01, 571.05 and 282.79

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Solution

The fourth proportional to 414.01, 571.05 and 282.79 is: 390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.01 : 571.05 = 282.79 : x
  2. Step 2: Convert to fraction form
    414.01/571.05 = 282.79/x
  3. Step 3: Cross multiply
    414.01x = 571.05 × 282.79
  4. Step 4: Simplify right side
    414.01x = 161,487.94
  5. Step 5: Solve for x
    x = 161,487.94/414.01
  6. Step 6: Final answer
    x = 390.06

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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.