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Finding the Fourth Proportional to 221.64, 333.72 and 161.16

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Solution

The fourth proportional to 221.64, 333.72 and 161.16 is: 242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.64 : 333.72 = 161.16 : x
  2. Step 2: Convert to fraction form
    221.64/333.72 = 161.16/x
  3. Step 3: Cross multiply
    221.64x = 333.72 × 161.16
  4. Step 4: Simplify right side
    221.64x = 53,782.32
  5. Step 5: Solve for x
    x = 53,782.32/221.64
  6. Step 6: Final answer
    x = 242.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.