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Finding the Fourth Proportional to 216.68, 326.61 and 204.13

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Solution

The fourth proportional to 216.68, 326.61 and 204.13 is: 307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.68 : 326.61 = 204.13 : x
  2. Step 2: Convert to fraction form
    216.68/326.61 = 204.13/x
  3. Step 3: Cross multiply
    216.68x = 326.61 × 204.13
  4. Step 4: Simplify right side
    216.68x = 66,669.88
  5. Step 5: Solve for x
    x = 66,669.88/216.68
  6. Step 6: Final answer
    x = 307.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.