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Finding the Fourth Proportional to 179.99, 270 and 111.58

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Solution

The fourth proportional to 179.99, 270 and 111.58 is: 167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.99 : 270 = 111.58 : x
  2. Step 2: Convert to fraction form
    179.99/270 = 111.58/x
  3. Step 3: Cross multiply
    179.99x = 270 × 111.58
  4. Step 4: Simplify right side
    179.99x = 30,125.93
  5. Step 5: Solve for x
    x = 30,125.93/179.99
  6. Step 6: Final answer
    x = 167.38

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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.