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Finding the Fourth Proportional to 286.51, 395.25 and 186.88

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Solution

The fourth proportional to 286.51, 395.25 and 186.88 is: 257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.51 : 395.25 = 186.88 : x
  2. Step 2: Convert to fraction form
    286.51/395.25 = 186.88/x
  3. Step 3: Cross multiply
    286.51x = 395.25 × 186.88
  4. Step 4: Simplify right side
    286.51x = 73,865.89
  5. Step 5: Solve for x
    x = 73,865.89/286.51
  6. Step 6: Final answer
    x = 257.81

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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.