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Finding the Fourth Proportional to 286.14, 394.62 and 187.86

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Solution

The fourth proportional to 286.14, 394.62 and 187.86 is: 259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.14 : 394.62 = 187.86 : x
  2. Step 2: Convert to fraction form
    286.14/394.62 = 187.86/x
  3. Step 3: Cross multiply
    286.14x = 394.62 × 187.86
  4. Step 4: Simplify right side
    286.14x = 74,133.31
  5. Step 5: Solve for x
    x = 74,133.31/286.14
  6. Step 6: Final answer
    x = 259.08

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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.