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Finding the Fourth Proportional to 212.24, 316.42 and 194.96

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Solution

The fourth proportional to 212.24, 316.42 and 194.96 is: 290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.24 : 316.42 = 194.96 : x
  2. Step 2: Convert to fraction form
    212.24/316.42 = 194.96/x
  3. Step 3: Cross multiply
    212.24x = 316.42 × 194.96
  4. Step 4: Simplify right side
    212.24x = 61,689.24
  5. Step 5: Solve for x
    x = 61,689.24/212.24
  6. Step 6: Final answer
    x = 290.66

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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.