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Finding the Fourth Proportional to 220.62, 305.87 and 208.32

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Solution

The fourth proportional to 220.62, 305.87 and 208.32 is: 288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.62 : 305.87 = 208.32 : x
  2. Step 2: Convert to fraction form
    220.62/305.87 = 208.32/x
  3. Step 3: Cross multiply
    220.62x = 305.87 × 208.32
  4. Step 4: Simplify right side
    220.62x = 63,718.32
  5. Step 5: Solve for x
    x = 63,718.32/220.62
  6. Step 6: Final answer
    x = 288.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.