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Finding the Fourth Proportional to 216.83, 323.56 and 193.75

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Solution

The fourth proportional to 216.83, 323.56 and 193.75 is: 289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.83 : 323.56 = 193.75 : x
  2. Step 2: Convert to fraction form
    216.83/323.56 = 193.75/x
  3. Step 3: Cross multiply
    216.83x = 323.56 × 193.75
  4. Step 4: Simplify right side
    216.83x = 62,689.75
  5. Step 5: Solve for x
    x = 62,689.75/216.83
  6. Step 6: Final answer
    x = 289.13

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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.