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Finding the Fourth Proportional to 193.19, 289.78 and 71.48

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Solution

The fourth proportional to 193.19, 289.78 and 71.48 is: 107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.19 : 289.78 = 71.48 : x
  2. Step 2: Convert to fraction form
    193.19/289.78 = 71.48/x
  3. Step 3: Cross multiply
    193.19x = 289.78 × 71.48
  4. Step 4: Simplify right side
    193.19x = 20,714.02
  5. Step 5: Solve for x
    x = 20,714.02/193.19
  6. Step 6: Final answer
    x = 107.22

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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.