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Finding the Fourth Proportional to 216.33, 323.33 and 177.38

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Solution

The fourth proportional to 216.33, 323.33 and 177.38 is: 265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.33 : 323.33 = 177.38 : x
  2. Step 2: Convert to fraction form
    216.33/323.33 = 177.38/x
  3. Step 3: Cross multiply
    216.33x = 323.33 × 177.38
  4. Step 4: Simplify right side
    216.33x = 57,352.28
  5. Step 5: Solve for x
    x = 57,352.28/216.33
  6. Step 6: Final answer
    x = 265.12

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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.