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Finding the Fourth Proportional to 213.31, 317.84 and 205.48

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Solution

The fourth proportional to 213.31, 317.84 and 205.48 is: 306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.31 : 317.84 = 205.48 : x
  2. Step 2: Convert to fraction form
    213.31/317.84 = 205.48/x
  3. Step 3: Cross multiply
    213.31x = 317.84 × 205.48
  4. Step 4: Simplify right side
    213.31x = 65,309.76
  5. Step 5: Solve for x
    x = 65,309.76/213.31
  6. Step 6: Final answer
    x = 306.17

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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.