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Finding the Fourth Proportional to 218.04, 324.48 and 217.36

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Solution

The fourth proportional to 218.04, 324.48 and 217.36 is: 323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.04 : 324.48 = 217.36 : x
  2. Step 2: Convert to fraction form
    218.04/324.48 = 217.36/x
  3. Step 3: Cross multiply
    218.04x = 324.48 × 217.36
  4. Step 4: Simplify right side
    218.04x = 70,528.97
  5. Step 5: Solve for x
    x = 70,528.97/218.04
  6. Step 6: Final answer
    x = 323.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.