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Finding the Fourth Proportional to 122.39, 182.59 and 116.59

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Solution

The fourth proportional to 122.39, 182.59 and 116.59 is: 173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.39 : 182.59 = 116.59 : x
  2. Step 2: Convert to fraction form
    122.39/182.59 = 116.59/x
  3. Step 3: Cross multiply
    122.39x = 182.59 × 116.59
  4. Step 4: Simplify right side
    122.39x = 21,288.46
  5. Step 5: Solve for x
    x = 21,288.46/122.39
  6. Step 6: Final answer
    x = 173.94

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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.