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Finding the Fourth Proportional to 216.33, 322.82 and 193.25

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Solution

The fourth proportional to 216.33, 322.82 and 193.25 is: 288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.33 : 322.82 = 193.25 : x
  2. Step 2: Convert to fraction form
    216.33/322.82 = 193.25/x
  3. Step 3: Cross multiply
    216.33x = 322.82 × 193.25
  4. Step 4: Simplify right side
    216.33x = 62,384.00
  5. Step 5: Solve for x
    x = 62,384.00/216.33
  6. Step 6: Final answer
    x = 288.38

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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.