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Finding the Fourth Proportional to 216.29, 322.80 and 191.99

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Solution

The fourth proportional to 216.29, 322.80 and 191.99 is: 286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.29 : 322.80 = 191.99 : x
  2. Step 2: Convert to fraction form
    216.29/322.80 = 191.99/x
  3. Step 3: Cross multiply
    216.29x = 322.80 × 191.99
  4. Step 4: Simplify right side
    216.29x = 61,974.37
  5. Step 5: Solve for x
    x = 61,974.37/216.29
  6. Step 6: Final answer
    x = 286.53

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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.