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Finding the Fourth Proportional to 19.85, 27.50 and 19.35

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Solution

The fourth proportional to 19.85, 27.50 and 19.35 is: 26.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.85 : 27.50 = 19.35 : x
  2. Step 2: Convert to fraction form
    19.85/27.50 = 19.35/x
  3. Step 3: Cross multiply
    19.85x = 27.50 × 19.35
  4. Step 4: Simplify right side
    19.85x = 532.03
  5. Step 5: Solve for x
    x = 532.03/19.85
  6. Step 6: Final answer
    x = 26.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.