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Finding the Fourth Proportional to 418.01, 576.86 and 286.79

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Solution

The fourth proportional to 418.01, 576.86 and 286.79 is: 395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.01 : 576.86 = 286.79 : x
  2. Step 2: Convert to fraction form
    418.01/576.86 = 286.79/x
  3. Step 3: Cross multiply
    418.01x = 576.86 × 286.79
  4. Step 4: Simplify right side
    418.01x = 165,433.36
  5. Step 5: Solve for x
    x = 165,433.36/418.01
  6. Step 6: Final answer
    x = 395.77

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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.