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Finding the Fourth Proportional to 286.84, 395.89 and 162.51

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Solution

The fourth proportional to 286.84, 395.89 and 162.51 is: 224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.84 : 395.89 = 162.51 : x
  2. Step 2: Convert to fraction form
    286.84/395.89 = 162.51/x
  3. Step 3: Cross multiply
    286.84x = 395.89 × 162.51
  4. Step 4: Simplify right side
    286.84x = 64,334.19
  5. Step 5: Solve for x
    x = 64,334.19/286.84
  6. Step 6: Final answer
    x = 224.29

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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.