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Finding the Fourth Proportional to 219.38, 326.75 and 207.81

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Solution

The fourth proportional to 219.38, 326.75 and 207.81 is: 309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.38 : 326.75 = 207.81 : x
  2. Step 2: Convert to fraction form
    219.38/326.75 = 207.81/x
  3. Step 3: Cross multiply
    219.38x = 326.75 × 207.81
  4. Step 4: Simplify right side
    219.38x = 67,900.88
  5. Step 5: Solve for x
    x = 67,900.88/219.38
  6. Step 6: Final answer
    x = 309.52

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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.