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Finding the Fourth Proportional to 213.56, 317.86 and 204.68

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Solution

The fourth proportional to 213.56, 317.86 and 204.68 is: 304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.56 : 317.86 = 204.68 : x
  2. Step 2: Convert to fraction form
    213.56/317.86 = 204.68/x
  3. Step 3: Cross multiply
    213.56x = 317.86 × 204.68
  4. Step 4: Simplify right side
    213.56x = 65,059.58
  5. Step 5: Solve for x
    x = 65,059.58/213.56
  6. Step 6: Final answer
    x = 304.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.