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Finding the Fourth Proportional to 216.32, 322.78 and 191.96

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Solution

The fourth proportional to 216.32, 322.78 and 191.96 is: 286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.32 : 322.78 = 191.96 : x
  2. Step 2: Convert to fraction form
    216.32/322.78 = 191.96/x
  3. Step 3: Cross multiply
    216.32x = 322.78 × 191.96
  4. Step 4: Simplify right side
    216.32x = 61,960.85
  5. Step 5: Solve for x
    x = 61,960.85/216.32
  6. Step 6: Final answer
    x = 286.43

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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.