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Finding the Fourth Proportional to 216.58, 323.19 and 193.50

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Solution

The fourth proportional to 216.58, 323.19 and 193.50 is: 288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.58 : 323.19 = 193.50 : x
  2. Step 2: Convert to fraction form
    216.58/323.19 = 193.50/x
  3. Step 3: Cross multiply
    216.58x = 323.19 × 193.50
  4. Step 4: Simplify right side
    216.58x = 62,537.27
  5. Step 5: Solve for x
    x = 62,537.27/216.58
  6. Step 6: Final answer
    x = 288.75

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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.