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Finding the Fourth Proportional to 212.19, 291.27 and 195.78

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Solution

The fourth proportional to 212.19, 291.27 and 195.78 is: 268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.19 : 291.27 = 195.78 : x
  2. Step 2: Convert to fraction form
    212.19/291.27 = 195.78/x
  3. Step 3: Cross multiply
    212.19x = 291.27 × 195.78
  4. Step 4: Simplify right side
    212.19x = 57,024.84
  5. Step 5: Solve for x
    x = 57,024.84/212.19
  6. Step 6: Final answer
    x = 268.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.