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Finding the Fourth Proportional to 218.00, 325.13 and 204.23

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Solution

The fourth proportional to 218.00, 325.13 and 204.23 is: 304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.00 : 325.13 = 204.23 : x
  2. Step 2: Convert to fraction form
    218.00/325.13 = 204.23/x
  3. Step 3: Cross multiply
    218.00x = 325.13 × 204.23
  4. Step 4: Simplify right side
    218.00x = 66,400.18
  5. Step 5: Solve for x
    x = 66,400.18/218.00
  6. Step 6: Final answer
    x = 304.59

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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.