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Finding the Fourth Proportional to 219.08, 300.52 and 214.53

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Solution

The fourth proportional to 219.08, 300.52 and 214.53 is: 294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.08 : 300.52 = 214.53 : x
  2. Step 2: Convert to fraction form
    219.08/300.52 = 214.53/x
  3. Step 3: Cross multiply
    219.08x = 300.52 × 214.53
  4. Step 4: Simplify right side
    219.08x = 64,469.05
  5. Step 5: Solve for x
    x = 64,469.05/219.08
  6. Step 6: Final answer
    x = 294.27

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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.