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Finding the Fourth Proportional to 213.06, 317.46 and 205.20

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Solution

The fourth proportional to 213.06, 317.46 and 205.20 is: 305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.06 : 317.46 = 205.20 : x
  2. Step 2: Convert to fraction form
    213.06/317.46 = 205.20/x
  3. Step 3: Cross multiply
    213.06x = 317.46 × 205.20
  4. Step 4: Simplify right side
    213.06x = 65,142.79
  5. Step 5: Solve for x
    x = 65,142.79/213.06
  6. Step 6: Final answer
    x = 305.75

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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.