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Finding the Fourth Proportional to 212.22, 316.51 and 208.58

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Solution

The fourth proportional to 212.22, 316.51 and 208.58 is: 311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.22 : 316.51 = 208.58 : x
  2. Step 2: Convert to fraction form
    212.22/316.51 = 208.58/x
  3. Step 3: Cross multiply
    212.22x = 316.51 × 208.58
  4. Step 4: Simplify right side
    212.22x = 66,015.55
  5. Step 5: Solve for x
    x = 66,015.55/212.22
  6. Step 6: Final answer
    x = 311.07

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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.