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Finding the Fourth Proportional to 286.25, 394.61 and 258.71

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Solution

The fourth proportional to 286.25, 394.61 and 258.71 is: 356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.25 : 394.61 = 258.71 : x
  2. Step 2: Convert to fraction form
    286.25/394.61 = 258.71/x
  3. Step 3: Cross multiply
    286.25x = 394.61 × 258.71
  4. Step 4: Simplify right side
    286.25x = 102,086.29
  5. Step 5: Solve for x
    x = 102,086.29/286.25
  6. Step 6: Final answer
    x = 356.64

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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.