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Finding the Fourth Proportional to 193.81, 290.49 and 72.00

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Solution

The fourth proportional to 193.81, 290.49 and 72.00 is: 107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.81 : 290.49 = 72.00 : x
  2. Step 2: Convert to fraction form
    193.81/290.49 = 72.00/x
  3. Step 3: Cross multiply
    193.81x = 290.49 × 72.00
  4. Step 4: Simplify right side
    193.81x = 20,913.83
  5. Step 5: Solve for x
    x = 20,913.83/193.81
  6. Step 6: Final answer
    x = 107.91

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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.