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Finding the Fourth Proportional to 212.93, 319.85 and 211.56

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Solution

The fourth proportional to 212.93, 319.85 and 211.56 is: 317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.93 : 319.85 = 211.56 : x
  2. Step 2: Convert to fraction form
    212.93/319.85 = 211.56/x
  3. Step 3: Cross multiply
    212.93x = 319.85 × 211.56
  4. Step 4: Simplify right side
    212.93x = 67,667.80
  5. Step 5: Solve for x
    x = 67,667.80/212.93
  6. Step 6: Final answer
    x = 317.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.