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Finding the Fourth Proportional to 286.76, 395.88 and 221.12

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Solution

The fourth proportional to 286.76, 395.88 and 221.12 is: 305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.76 : 395.88 = 221.12 : x
  2. Step 2: Convert to fraction form
    286.76/395.88 = 221.12/x
  3. Step 3: Cross multiply
    286.76x = 395.88 × 221.12
  4. Step 4: Simplify right side
    286.76x = 87,536.99
  5. Step 5: Solve for x
    x = 87,536.99/286.76
  6. Step 6: Final answer
    x = 305.26

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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.