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Finding the Fourth Proportional to 193.62, 288.78 and 174.63

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Solution

The fourth proportional to 193.62, 288.78 and 174.63 is: 260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.62 : 288.78 = 174.63 : x
  2. Step 2: Convert to fraction form
    193.62/288.78 = 174.63/x
  3. Step 3: Cross multiply
    193.62x = 288.78 × 174.63
  4. Step 4: Simplify right side
    193.62x = 50,429.65
  5. Step 5: Solve for x
    x = 50,429.65/193.62
  6. Step 6: Final answer
    x = 260.46

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