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Finding the Fourth Proportional to 221.75, 305.75 and 151.84

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Solution

The fourth proportional to 221.75, 305.75 and 151.84 is: 209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.75 : 305.75 = 151.84 : x
  2. Step 2: Convert to fraction form
    221.75/305.75 = 151.84/x
  3. Step 3: Cross multiply
    221.75x = 305.75 × 151.84
  4. Step 4: Simplify right side
    221.75x = 46,425.84
  5. Step 5: Solve for x
    x = 46,425.84/221.75
  6. Step 6: Final answer
    x = 209.36

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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.