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Finding the Fourth Proportional to 218.27, 325.50 and 213.59

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Solution

The fourth proportional to 218.27, 325.50 and 213.59 is: 318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.27 : 325.50 = 213.59 : x
  2. Step 2: Convert to fraction form
    218.27/325.50 = 213.59/x
  3. Step 3: Cross multiply
    218.27x = 325.50 × 213.59
  4. Step 4: Simplify right side
    218.27x = 69,522.48
  5. Step 5: Solve for x
    x = 69,522.48/218.27
  6. Step 6: Final answer
    x = 318.52

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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.