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Finding the Fourth Proportional to 212.73, 293.54 and 195.31

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Solution

The fourth proportional to 212.73, 293.54 and 195.31 is: 269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.73 : 293.54 = 195.31 : x
  2. Step 2: Convert to fraction form
    212.73/293.54 = 195.31/x
  3. Step 3: Cross multiply
    212.73x = 293.54 × 195.31
  4. Step 4: Simplify right side
    212.73x = 57,331.79
  5. Step 5: Solve for x
    x = 57,331.79/212.73
  6. Step 6: Final answer
    x = 269.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.