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Finding the Fourth Proportional to 17.85, 26.49 and 17.49

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Solution

The fourth proportional to 17.85, 26.49 and 17.49 is: 25.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.85 : 26.49 = 17.49 : x
  2. Step 2: Convert to fraction form
    17.85/26.49 = 17.49/x
  3. Step 3: Cross multiply
    17.85x = 26.49 × 17.49
  4. Step 4: Simplify right side
    17.85x = 463.31
  5. Step 5: Solve for x
    x = 463.31/17.85
  6. Step 6: Final answer
    x = 25.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.