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Finding the Fourth Proportional to 212.32, 316.94 and 197.32

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Solution

The fourth proportional to 212.32, 316.94 and 197.32 is: 294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.32 : 316.94 = 197.32 : x
  2. Step 2: Convert to fraction form
    212.32/316.94 = 197.32/x
  3. Step 3: Cross multiply
    212.32x = 316.94 × 197.32
  4. Step 4: Simplify right side
    212.32x = 62,538.60
  5. Step 5: Solve for x
    x = 62,538.60/212.32
  6. Step 6: Final answer
    x = 294.55

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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.