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Finding the Fourth Proportional to 216.30, 322.79 and 193.23

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Solution

The fourth proportional to 216.30, 322.79 and 193.23 is: 288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.30 : 322.79 = 193.23 : x
  2. Step 2: Convert to fraction form
    216.30/322.79 = 193.23/x
  3. Step 3: Cross multiply
    216.30x = 322.79 × 193.23
  4. Step 4: Simplify right side
    216.30x = 62,371.75
  5. Step 5: Solve for x
    x = 62,371.75/216.30
  6. Step 6: Final answer
    x = 288.36

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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.