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Finding the Fourth Proportional to 17.72, 26.44 and 17.56

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Solution

The fourth proportional to 17.72, 26.44 and 17.56 is: 26.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.72 : 26.44 = 17.56 : x
  2. Step 2: Convert to fraction form
    17.72/26.44 = 17.56/x
  3. Step 3: Cross multiply
    17.72x = 26.44 × 17.56
  4. Step 4: Simplify right side
    17.72x = 464.29
  5. Step 5: Solve for x
    x = 464.29/17.72
  6. Step 6: Final answer
    x = 26.20

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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.