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Finding the Fourth Proportional to 219.17, 330.26 and 181.49

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Solution

The fourth proportional to 219.17, 330.26 and 181.49 is: 273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.17 : 330.26 = 181.49 : x
  2. Step 2: Convert to fraction form
    219.17/330.26 = 181.49/x
  3. Step 3: Cross multiply
    219.17x = 330.26 × 181.49
  4. Step 4: Simplify right side
    219.17x = 59,938.89
  5. Step 5: Solve for x
    x = 59,938.89/219.17
  6. Step 6: Final answer
    x = 273.48

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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.