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Finding the Fourth Proportional to 221.63, 305.90 and 146.96

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Solution

The fourth proportional to 221.63, 305.90 and 146.96 is: 202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.63 : 305.90 = 146.96 : x
  2. Step 2: Convert to fraction form
    221.63/305.90 = 146.96/x
  3. Step 3: Cross multiply
    221.63x = 305.90 × 146.96
  4. Step 4: Simplify right side
    221.63x = 44,955.06
  5. Step 5: Solve for x
    x = 44,955.06/221.63
  6. Step 6: Final answer
    x = 202.84

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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.