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Finding the Fourth Proportional to 119.00, 177.26 and 111.44

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Solution

The fourth proportional to 119.00, 177.26 and 111.44 is: 165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.00 : 177.26 = 111.44 : x
  2. Step 2: Convert to fraction form
    119.00/177.26 = 111.44/x
  3. Step 3: Cross multiply
    119.00x = 177.26 × 111.44
  4. Step 4: Simplify right side
    119.00x = 19,753.74
  5. Step 5: Solve for x
    x = 19,753.74/119.00
  6. Step 6: Final answer
    x = 165.99

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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.