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Finding the Fourth Proportional to 193.56, 288.93 and 181.32

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Solution

The fourth proportional to 193.56, 288.93 and 181.32 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.56 : 288.93 = 181.32 : x
  2. Step 2: Convert to fraction form
    193.56/288.93 = 181.32/x
  3. Step 3: Cross multiply
    193.56x = 288.93 × 181.32
  4. Step 4: Simplify right side
    193.56x = 52,388.79
  5. Step 5: Solve for x
    x = 52,388.79/193.56
  6. Step 6: Final answer
    x = 270.66

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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.