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Finding the Fourth Proportional to 212.03, 319.74 and 209.14

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Solution

The fourth proportional to 212.03, 319.74 and 209.14 is: 315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.03 : 319.74 = 209.14 : x
  2. Step 2: Convert to fraction form
    212.03/319.74 = 209.14/x
  3. Step 3: Cross multiply
    212.03x = 319.74 × 209.14
  4. Step 4: Simplify right side
    212.03x = 66,870.42
  5. Step 5: Solve for x
    x = 66,870.42/212.03
  6. Step 6: Final answer
    x = 315.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.