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Finding the Fourth Proportional to 219.06, 324.11 and 218.45

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Solution

The fourth proportional to 219.06, 324.11 and 218.45 is: 323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.06 : 324.11 = 218.45 : x
  2. Step 2: Convert to fraction form
    219.06/324.11 = 218.45/x
  3. Step 3: Cross multiply
    219.06x = 324.11 × 218.45
  4. Step 4: Simplify right side
    219.06x = 70,803.19
  5. Step 5: Solve for x
    x = 70,803.19/219.06
  6. Step 6: Final answer
    x = 323.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.