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Finding the Fourth Proportional to 17.81, 26.84 and 17.40

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Solution

The fourth proportional to 17.81, 26.84 and 17.40 is: 26.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.81 : 26.84 = 17.40 : x
  2. Step 2: Convert to fraction form
    17.81/26.84 = 17.40/x
  3. Step 3: Cross multiply
    17.81x = 26.84 × 17.40
  4. Step 4: Simplify right side
    17.81x = 466.93
  5. Step 5: Solve for x
    x = 466.93/17.81
  6. Step 6: Final answer
    x = 26.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.