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Finding the Fourth Proportional to 212.42, 317.14 and 197.84

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Solution

The fourth proportional to 212.42, 317.14 and 197.84 is: 295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.42 : 317.14 = 197.84 : x
  2. Step 2: Convert to fraction form
    212.42/317.14 = 197.84/x
  3. Step 3: Cross multiply
    212.42x = 317.14 × 197.84
  4. Step 4: Simplify right side
    212.42x = 62,742.98
  5. Step 5: Solve for x
    x = 62,742.98/212.42
  6. Step 6: Final answer
    x = 295.37

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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.