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Finding the Fourth Proportional to 19.67, 26.78 and 19.31

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Solution

The fourth proportional to 19.67, 26.78 and 19.31 is: 26.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.67 : 26.78 = 19.31 : x
  2. Step 2: Convert to fraction form
    19.67/26.78 = 19.31/x
  3. Step 3: Cross multiply
    19.67x = 26.78 × 19.31
  4. Step 4: Simplify right side
    19.67x = 516.89
  5. Step 5: Solve for x
    x = 516.89/19.67
  6. Step 6: Final answer
    x = 26.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.