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Finding the Fourth Proportional to 355.87, 490.78 and 286.16

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Solution

The fourth proportional to 355.87, 490.78 and 286.16 is: 394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.87 : 490.78 = 286.16 : x
  2. Step 2: Convert to fraction form
    355.87/490.78 = 286.16/x
  3. Step 3: Cross multiply
    355.87x = 490.78 × 286.16
  4. Step 4: Simplify right side
    355.87x = 140,441.69
  5. Step 5: Solve for x
    x = 140,441.69/355.87
  6. Step 6: Final answer
    x = 394.64

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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.