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Finding the Fourth Proportional to 219.24, 300.39 and 216.36

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Solution

The fourth proportional to 219.24, 300.39 and 216.36 is: 296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.24 : 300.39 = 216.36 : x
  2. Step 2: Convert to fraction form
    219.24/300.39 = 216.36/x
  3. Step 3: Cross multiply
    219.24x = 300.39 × 216.36
  4. Step 4: Simplify right side
    219.24x = 64,992.38
  5. Step 5: Solve for x
    x = 64,992.38/219.24
  6. Step 6: Final answer
    x = 296.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.