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Finding the Fourth Proportional to 213.06, 317.00 and 212.34

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Solution

The fourth proportional to 213.06, 317.00 and 212.34 is: 315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.06 : 317.00 = 212.34 : x
  2. Step 2: Convert to fraction form
    213.06/317.00 = 212.34/x
  3. Step 3: Cross multiply
    213.06x = 317.00 × 212.34
  4. Step 4: Simplify right side
    213.06x = 67,310.72
  5. Step 5: Solve for x
    x = 67,310.72/213.06
  6. Step 6: Final answer
    x = 315.92

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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.