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Finding the Fourth Proportional to 212.07, 316.31 and 200.19

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Solution

The fourth proportional to 212.07, 316.31 and 200.19 is: 298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.07 : 316.31 = 200.19 : x
  2. Step 2: Convert to fraction form
    212.07/316.31 = 200.19/x
  3. Step 3: Cross multiply
    212.07x = 316.31 × 200.19
  4. Step 4: Simplify right side
    212.07x = 63,321.10
  5. Step 5: Solve for x
    x = 63,321.10/212.07
  6. Step 6: Final answer
    x = 298.59

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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.