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Finding the Fourth Proportional to 216.02, 321.97 and 204.20

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Solution

The fourth proportional to 216.02, 321.97 and 204.20 is: 304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.02 : 321.97 = 204.20 : x
  2. Step 2: Convert to fraction form
    216.02/321.97 = 204.20/x
  3. Step 3: Cross multiply
    216.02x = 321.97 × 204.20
  4. Step 4: Simplify right side
    216.02x = 65,746.27
  5. Step 5: Solve for x
    x = 65,746.27/216.02
  6. Step 6: Final answer
    x = 304.35

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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.