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Finding the Fourth Proportional to 219.51, 329.43 and 208.23

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Solution

The fourth proportional to 219.51, 329.43 and 208.23 is: 312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.51 : 329.43 = 208.23 : x
  2. Step 2: Convert to fraction form
    219.51/329.43 = 208.23/x
  3. Step 3: Cross multiply
    219.51x = 329.43 × 208.23
  4. Step 4: Simplify right side
    219.51x = 68,597.21
  5. Step 5: Solve for x
    x = 68,597.21/219.51
  6. Step 6: Final answer
    x = 312.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.