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Finding the Fourth Proportional to 286.69, 395.79 and 174.67

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Solution

The fourth proportional to 286.69, 395.79 and 174.67 is: 241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.69 : 395.79 = 174.67 : x
  2. Step 2: Convert to fraction form
    286.69/395.79 = 174.67/x
  3. Step 3: Cross multiply
    286.69x = 395.79 × 174.67
  4. Step 4: Simplify right side
    286.69x = 69,133.22
  5. Step 5: Solve for x
    x = 69,133.22/286.69
  6. Step 6: Final answer
    x = 241.14

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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.