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Finding the Fourth Proportional to 404.29, 557.74 and 286.27

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Solution

The fourth proportional to 404.29, 557.74 and 286.27 is: 394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.29 : 557.74 = 286.27 : x
  2. Step 2: Convert to fraction form
    404.29/557.74 = 286.27/x
  3. Step 3: Cross multiply
    404.29x = 557.74 × 286.27
  4. Step 4: Simplify right side
    404.29x = 159,661.58
  5. Step 5: Solve for x
    x = 159,661.58/404.29
  6. Step 6: Final answer
    x = 394.92

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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.