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Finding the Fourth Proportional to 119.99, 180 and 74.39

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Solution

The fourth proportional to 119.99, 180 and 74.39 is: 111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.99 : 180 = 74.39 : x
  2. Step 2: Convert to fraction form
    119.99/180 = 74.39/x
  3. Step 3: Cross multiply
    119.99x = 180 × 74.39
  4. Step 4: Simplify right side
    119.99x = 13,389.30
  5. Step 5: Solve for x
    x = 13,389.30/119.99
  6. Step 6: Final answer
    x = 111.58

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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.