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Finding the Fourth Proportional to 193.32, 266.76 and 119.54

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Solution

The fourth proportional to 193.32, 266.76 and 119.54 is: 164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.32 : 266.76 = 119.54 : x
  2. Step 2: Convert to fraction form
    193.32/266.76 = 119.54/x
  3. Step 3: Cross multiply
    193.32x = 266.76 × 119.54
  4. Step 4: Simplify right side
    193.32x = 31,889.16
  5. Step 5: Solve for x
    x = 31,889.16/193.32
  6. Step 6: Final answer
    x = 164.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.