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Finding the Fourth Proportional to 212.30, 316.07 and 209.26

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Solution

The fourth proportional to 212.30, 316.07 and 209.26 is: 311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.30 : 316.07 = 209.26 : x
  2. Step 2: Convert to fraction form
    212.30/316.07 = 209.26/x
  3. Step 3: Cross multiply
    212.30x = 316.07 × 209.26
  4. Step 4: Simplify right side
    212.30x = 66,139.23
  5. Step 5: Solve for x
    x = 66,139.23/212.30
  6. Step 6: Final answer
    x = 311.54

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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.