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Finding the Fourth Proportional to 219.99, 328.44 and 206.94

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Solution

The fourth proportional to 219.99, 328.44 and 206.94 is: 308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.99 : 328.44 = 206.94 : x
  2. Step 2: Convert to fraction form
    219.99/328.44 = 206.94/x
  3. Step 3: Cross multiply
    219.99x = 328.44 × 206.94
  4. Step 4: Simplify right side
    219.99x = 67,967.37
  5. Step 5: Solve for x
    x = 67,967.37/219.99
  6. Step 6: Final answer
    x = 308.96

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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.