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Finding the Fourth Proportional to 193.51, 289.93 and 116.51

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Solution

The fourth proportional to 193.51, 289.93 and 116.51 is: 174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.51 : 289.93 = 116.51 : x
  2. Step 2: Convert to fraction form
    193.51/289.93 = 116.51/x
  3. Step 3: Cross multiply
    193.51x = 289.93 × 116.51
  4. Step 4: Simplify right side
    193.51x = 33,780.67
  5. Step 5: Solve for x
    x = 33,780.67/193.51
  6. Step 6: Final answer
    x = 174.56

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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.