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Finding the Fourth Proportional to 417.38, 576.11 and 286.37

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Solution

The fourth proportional to 417.38, 576.11 and 286.37 is: 395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.38 : 576.11 = 286.37 : x
  2. Step 2: Convert to fraction form
    417.38/576.11 = 286.37/x
  3. Step 3: Cross multiply
    417.38x = 576.11 × 286.37
  4. Step 4: Simplify right side
    417.38x = 164,978.46
  5. Step 5: Solve for x
    x = 164,978.46/417.38
  6. Step 6: Final answer
    x = 395.27

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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.