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Finding the Fourth Proportional to 216.40, 326.16 and 206.64

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Solution

The fourth proportional to 216.40, 326.16 and 206.64 is: 311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.40 : 326.16 = 206.64 : x
  2. Step 2: Convert to fraction form
    216.40/326.16 = 206.64/x
  3. Step 3: Cross multiply
    216.40x = 326.16 × 206.64
  4. Step 4: Simplify right side
    216.40x = 67,397.70
  5. Step 5: Solve for x
    x = 67,397.70/216.40
  6. Step 6: Final answer
    x = 311.45

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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.