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Finding the Fourth Proportional to 221.74, 305.98 and 142.91

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Solution

The fourth proportional to 221.74, 305.98 and 142.91 is: 197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.74 : 305.98 = 142.91 : x
  2. Step 2: Convert to fraction form
    221.74/305.98 = 142.91/x
  3. Step 3: Cross multiply
    221.74x = 305.98 × 142.91
  4. Step 4: Simplify right side
    221.74x = 43,728.58
  5. Step 5: Solve for x
    x = 43,728.58/221.74
  6. Step 6: Final answer
    x = 197.21

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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.