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Finding the Fourth Proportional to 216.91, 323.35 and 213.58

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Solution

The fourth proportional to 216.91, 323.35 and 213.58 is: 318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.91 : 323.35 = 213.58 : x
  2. Step 2: Convert to fraction form
    216.91/323.35 = 213.58/x
  3. Step 3: Cross multiply
    216.91x = 323.35 × 213.58
  4. Step 4: Simplify right side
    216.91x = 69,060.82
  5. Step 5: Solve for x
    x = 69,060.82/216.91
  6. Step 6: Final answer
    x = 318.39

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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.