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Finding the Fourth Proportional to 216.00, 323.95 and 61.88

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Solution

The fourth proportional to 216.00, 323.95 and 61.88 is: 92.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.00 : 323.95 = 61.88 : x
  2. Step 2: Convert to fraction form
    216.00/323.95 = 61.88/x
  3. Step 3: Cross multiply
    216.00x = 323.95 × 61.88
  4. Step 4: Simplify right side
    216.00x = 20,046.19
  5. Step 5: Solve for x
    x = 20,046.19/216.00
  6. Step 6: Final answer
    x = 92.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.