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Finding the Fourth Proportional to 212.56, 316.82 and 207.94

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Solution

The fourth proportional to 212.56, 316.82 and 207.94 is: 309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.56 : 316.82 = 207.94 : x
  2. Step 2: Convert to fraction form
    212.56/316.82 = 207.94/x
  3. Step 3: Cross multiply
    212.56x = 316.82 × 207.94
  4. Step 4: Simplify right side
    212.56x = 65,879.55
  5. Step 5: Solve for x
    x = 65,879.55/212.56
  6. Step 6: Final answer
    x = 309.93

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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.