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Finding the Fourth Proportional to 213.72, 296.22 and 210.60

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Solution

The fourth proportional to 213.72, 296.22 and 210.60 is: 291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.72 : 296.22 = 210.60 : x
  2. Step 2: Convert to fraction form
    213.72/296.22 = 210.60/x
  3. Step 3: Cross multiply
    213.72x = 296.22 × 210.60
  4. Step 4: Simplify right side
    213.72x = 62,383.93
  5. Step 5: Solve for x
    x = 62,383.93/213.72
  6. Step 6: Final answer
    x = 291.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.