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Finding the Fourth Proportional to 220.34, 327.81 and 207.38

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Solution

The fourth proportional to 220.34, 327.81 and 207.38 is: 308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.34 : 327.81 = 207.38 : x
  2. Step 2: Convert to fraction form
    220.34/327.81 = 207.38/x
  3. Step 3: Cross multiply
    220.34x = 327.81 × 207.38
  4. Step 4: Simplify right side
    220.34x = 67,981.24
  5. Step 5: Solve for x
    x = 67,981.24/220.34
  6. Step 6: Final answer
    x = 308.53

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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.