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Finding the Fourth Proportional to 221.42, 305.70 and 163.10

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Solution

The fourth proportional to 221.42, 305.70 and 163.10 is: 225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.42 : 305.70 = 163.10 : x
  2. Step 2: Convert to fraction form
    221.42/305.70 = 163.10/x
  3. Step 3: Cross multiply
    221.42x = 305.70 × 163.10
  4. Step 4: Simplify right side
    221.42x = 49,859.67
  5. Step 5: Solve for x
    x = 49,859.67/221.42
  6. Step 6: Final answer
    x = 225.18

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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.