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Finding the Fourth Proportional to 221.24, 305.30 and 137.18

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Solution

The fourth proportional to 221.24, 305.30 and 137.18 is: 189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.24 : 305.30 = 137.18 : x
  2. Step 2: Convert to fraction form
    221.24/305.30 = 137.18/x
  3. Step 3: Cross multiply
    221.24x = 305.30 × 137.18
  4. Step 4: Simplify right side
    221.24x = 41,881.05
  5. Step 5: Solve for x
    x = 41,881.05/221.24
  6. Step 6: Final answer
    x = 189.30

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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.