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Finding the Fourth Proportional to 209.53, 312.22 and 199.71

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Solution

The fourth proportional to 209.53, 312.22 and 199.71 is: 297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.53 : 312.22 = 199.71 : x
  2. Step 2: Convert to fraction form
    209.53/312.22 = 199.71/x
  3. Step 3: Cross multiply
    209.53x = 312.22 × 199.71
  4. Step 4: Simplify right side
    209.53x = 62,353.46
  5. Step 5: Solve for x
    x = 62,353.46/209.53
  6. Step 6: Final answer
    x = 297.59

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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.