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Finding the Fourth Proportional to 193.76, 290.52 and 63.72

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Solution

The fourth proportional to 193.76, 290.52 and 63.72 is: 95.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.76 : 290.52 = 63.72 : x
  2. Step 2: Convert to fraction form
    193.76/290.52 = 63.72/x
  3. Step 3: Cross multiply
    193.76x = 290.52 × 63.72
  4. Step 4: Simplify right side
    193.76x = 18,511.93
  5. Step 5: Solve for x
    x = 18,511.93/193.76
  6. Step 6: Final answer
    x = 95.54

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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.