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Finding the Fourth Proportional to 220.89, 305.19 and 208.74

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Solution

The fourth proportional to 220.89, 305.19 and 208.74 is: 288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.89 : 305.19 = 208.74 : x
  2. Step 2: Convert to fraction form
    220.89/305.19 = 208.74/x
  3. Step 3: Cross multiply
    220.89x = 305.19 × 208.74
  4. Step 4: Simplify right side
    220.89x = 63,705.36
  5. Step 5: Solve for x
    x = 63,705.36/220.89
  6. Step 6: Final answer
    x = 288.40

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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.