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Finding the Fourth Proportional to 219.34, 300.49 and 211.13

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Solution

The fourth proportional to 219.34, 300.49 and 211.13 is: 289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.34 : 300.49 = 211.13 : x
  2. Step 2: Convert to fraction form
    219.34/300.49 = 211.13/x
  3. Step 3: Cross multiply
    219.34x = 300.49 × 211.13
  4. Step 4: Simplify right side
    219.34x = 63,442.45
  5. Step 5: Solve for x
    x = 63,442.45/219.34
  6. Step 6: Final answer
    x = 289.24

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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.