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Finding the Fourth Proportional to 182.88, 274.36 and 74.67

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Solution

The fourth proportional to 182.88, 274.36 and 74.67 is: 112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.88 : 274.36 = 74.67 : x
  2. Step 2: Convert to fraction form
    182.88/274.36 = 74.67/x
  3. Step 3: Cross multiply
    182.88x = 274.36 × 74.67
  4. Step 4: Simplify right side
    182.88x = 20,487.14
  5. Step 5: Solve for x
    x = 20,487.14/182.88
  6. Step 6: Final answer
    x = 112.02

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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.