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Finding the Fourth Proportional to 182.12, 272.09 and 180.50

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Solution

The fourth proportional to 182.12, 272.09 and 180.50 is: 269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.12 : 272.09 = 180.50 : x
  2. Step 2: Convert to fraction form
    182.12/272.09 = 180.50/x
  3. Step 3: Cross multiply
    182.12x = 272.09 × 180.50
  4. Step 4: Simplify right side
    182.12x = 49,111.34
  5. Step 5: Solve for x
    x = 49,111.34/182.12
  6. Step 6: Final answer
    x = 269.67

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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.