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Finding the Fourth Proportional to 212.88, 317.68 and 196.60

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Solution

The fourth proportional to 212.88, 317.68 and 196.60 is: 293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.88 : 317.68 = 196.60 : x
  2. Step 2: Convert to fraction form
    212.88/317.68 = 196.60/x
  3. Step 3: Cross multiply
    212.88x = 317.68 × 196.60
  4. Step 4: Simplify right side
    212.88x = 62,455.89
  5. Step 5: Solve for x
    x = 62,455.89/212.88
  6. Step 6: Final answer
    x = 293.39

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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.