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Finding the Fourth Proportional to 298.94, 412.67 and 220.27

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Solution

The fourth proportional to 298.94, 412.67 and 220.27 is: 304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.94 : 412.67 = 220.27 : x
  2. Step 2: Convert to fraction form
    298.94/412.67 = 220.27/x
  3. Step 3: Cross multiply
    298.94x = 412.67 × 220.27
  4. Step 4: Simplify right side
    298.94x = 90,898.49
  5. Step 5: Solve for x
    x = 90,898.49/298.94
  6. Step 6: Final answer
    x = 304.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.