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Finding the Fourth Proportional to 193.63, 290.98 and 192.57

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Solution

The fourth proportional to 193.63, 290.98 and 192.57 is: 289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.63 : 290.98 = 192.57 : x
  2. Step 2: Convert to fraction form
    193.63/290.98 = 192.57/x
  3. Step 3: Cross multiply
    193.63x = 290.98 × 192.57
  4. Step 4: Simplify right side
    193.63x = 56,033.82
  5. Step 5: Solve for x
    x = 56,033.82/193.63
  6. Step 6: Final answer
    x = 289.38

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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.