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Finding the Fourth Proportional to 193.88, 289.79 and 159.45

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Solution

The fourth proportional to 193.88, 289.79 and 159.45 is: 238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.88 : 289.79 = 159.45 : x
  2. Step 2: Convert to fraction form
    193.88/289.79 = 159.45/x
  3. Step 3: Cross multiply
    193.88x = 289.79 × 159.45
  4. Step 4: Simplify right side
    193.88x = 46,206.22
  5. Step 5: Solve for x
    x = 46,206.22/193.88
  6. Step 6: Final answer
    x = 238.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.