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Finding the Fourth Proportional to 220.35, 328.90 and 206.67

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Solution

The fourth proportional to 220.35, 328.90 and 206.67 is: 308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.35 : 328.90 = 206.67 : x
  2. Step 2: Convert to fraction form
    220.35/328.90 = 206.67/x
  3. Step 3: Cross multiply
    220.35x = 328.90 × 206.67
  4. Step 4: Simplify right side
    220.35x = 67,973.25
  5. Step 5: Solve for x
    x = 67,973.25/220.35
  6. Step 6: Final answer
    x = 308.48

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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.