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Finding the Fourth Proportional to 193.46, 290.26 and 71.74

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Solution

The fourth proportional to 193.46, 290.26 and 71.74 is: 107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.46 : 290.26 = 71.74 : x
  2. Step 2: Convert to fraction form
    193.46/290.26 = 71.74/x
  3. Step 3: Cross multiply
    193.46x = 290.26 × 71.74
  4. Step 4: Simplify right side
    193.46x = 20,823.25
  5. Step 5: Solve for x
    x = 20,823.25/193.46
  6. Step 6: Final answer
    x = 107.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.