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Finding the Fourth Proportional to 213.74, 296.46 and 205.10

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Solution

The fourth proportional to 213.74, 296.46 and 205.10 is: 284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.74 : 296.46 = 205.10 : x
  2. Step 2: Convert to fraction form
    213.74/296.46 = 205.10/x
  3. Step 3: Cross multiply
    213.74x = 296.46 × 205.10
  4. Step 4: Simplify right side
    213.74x = 60,803.95
  5. Step 5: Solve for x
    x = 60,803.95/213.74
  6. Step 6: Final answer
    x = 284.48

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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.