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Finding the Fourth Proportional to 222.52, 305.28 and 208.56

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Solution

The fourth proportional to 222.52, 305.28 and 208.56 is: 286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.52 : 305.28 = 208.56 : x
  2. Step 2: Convert to fraction form
    222.52/305.28 = 208.56/x
  3. Step 3: Cross multiply
    222.52x = 305.28 × 208.56
  4. Step 4: Simplify right side
    222.52x = 63,669.20
  5. Step 5: Solve for x
    x = 63,669.20/222.52
  6. Step 6: Final answer
    x = 286.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.