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Finding the Fourth Proportional to 213.08, 292.97 and 189.54

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Solution

The fourth proportional to 213.08, 292.97 and 189.54 is: 260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.08 : 292.97 = 189.54 : x
  2. Step 2: Convert to fraction form
    213.08/292.97 = 189.54/x
  3. Step 3: Cross multiply
    213.08x = 292.97 × 189.54
  4. Step 4: Simplify right side
    213.08x = 55,528.94
  5. Step 5: Solve for x
    x = 55,528.94/213.08
  6. Step 6: Final answer
    x = 260.60

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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.