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Finding the Fourth Proportional to 122.55, 182.82 and 114.03

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Solution

The fourth proportional to 122.55, 182.82 and 114.03 is: 170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.55 : 182.82 = 114.03 : x
  2. Step 2: Convert to fraction form
    122.55/182.82 = 114.03/x
  3. Step 3: Cross multiply
    122.55x = 182.82 × 114.03
  4. Step 4: Simplify right side
    122.55x = 20,846.96
  5. Step 5: Solve for x
    x = 20,846.96/122.55
  6. Step 6: Final answer
    x = 170.11

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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.