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Finding the Fourth Proportional to 122.06, 182.82 and 118.02

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Solution

The fourth proportional to 122.06, 182.82 and 118.02 is: 176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.06 : 182.82 = 118.02 : x
  2. Step 2: Convert to fraction form
    122.06/182.82 = 118.02/x
  3. Step 3: Cross multiply
    122.06x = 182.82 × 118.02
  4. Step 4: Simplify right side
    122.06x = 21,576.42
  5. Step 5: Solve for x
    x = 21,576.42/122.06
  6. Step 6: Final answer
    x = 176.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.