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Finding the Fourth Proportional to 218.31, 323.01 and 217.71

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Solution

The fourth proportional to 218.31, 323.01 and 217.71 is: 322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.31 : 323.01 = 217.71 : x
  2. Step 2: Convert to fraction form
    218.31/323.01 = 217.71/x
  3. Step 3: Cross multiply
    218.31x = 323.01 × 217.71
  4. Step 4: Simplify right side
    218.31x = 70,322.51
  5. Step 5: Solve for x
    x = 70,322.51/218.31
  6. Step 6: Final answer
    x = 322.12

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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.