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Finding the Fourth Proportional to 218.11, 325.52 and 190.72

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Solution

The fourth proportional to 218.11, 325.52 and 190.72 is: 284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.11 : 325.52 = 190.72 : x
  2. Step 2: Convert to fraction form
    218.11/325.52 = 190.72/x
  3. Step 3: Cross multiply
    218.11x = 325.52 × 190.72
  4. Step 4: Simplify right side
    218.11x = 62,083.17
  5. Step 5: Solve for x
    x = 62,083.17/218.11
  6. Step 6: Final answer
    x = 284.64

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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.