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Finding the Fourth Proportional to 414.27, 570.78 and 283.05

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Solution

The fourth proportional to 414.27, 570.78 and 283.05 is: 389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.27 : 570.78 = 283.05 : x
  2. Step 2: Convert to fraction form
    414.27/570.78 = 283.05/x
  3. Step 3: Cross multiply
    414.27x = 570.78 × 283.05
  4. Step 4: Simplify right side
    414.27x = 161,559.28
  5. Step 5: Solve for x
    x = 161,559.28/414.27
  6. Step 6: Final answer
    x = 389.99

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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.