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Finding the Fourth Proportional to 221.82, 305.97 and 148.14

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Solution

The fourth proportional to 221.82, 305.97 and 148.14 is: 204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.82 : 305.97 = 148.14 : x
  2. Step 2: Convert to fraction form
    221.82/305.97 = 148.14/x
  3. Step 3: Cross multiply
    221.82x = 305.97 × 148.14
  4. Step 4: Simplify right side
    221.82x = 45,325.84
  5. Step 5: Solve for x
    x = 45,325.84/221.82
  6. Step 6: Final answer
    x = 204.34

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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.