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Finding the Fourth Proportional to 216.84, 326.56 and 190.11

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Solution

The fourth proportional to 216.84, 326.56 and 190.11 is: 286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.84 : 326.56 = 190.11 : x
  2. Step 2: Convert to fraction form
    216.84/326.56 = 190.11/x
  3. Step 3: Cross multiply
    216.84x = 326.56 × 190.11
  4. Step 4: Simplify right side
    216.84x = 62,082.32
  5. Step 5: Solve for x
    x = 62,082.32/216.84
  6. Step 6: Final answer
    x = 286.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.