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Finding the Fourth Proportional to 193.70, 289.32 and 139.56

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Solution

The fourth proportional to 193.70, 289.32 and 139.56 is: 208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.70 : 289.32 = 139.56 : x
  2. Step 2: Convert to fraction form
    193.70/289.32 = 139.56/x
  3. Step 3: Cross multiply
    193.70x = 289.32 × 139.56
  4. Step 4: Simplify right side
    193.70x = 40,377.50
  5. Step 5: Solve for x
    x = 40,377.50/193.70
  6. Step 6: Final answer
    x = 208.45

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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.