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Finding the Fourth Proportional to 122.98, 183.66 and 116.74

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Solution

The fourth proportional to 122.98, 183.66 and 116.74 is: 174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.98 : 183.66 = 116.74 : x
  2. Step 2: Convert to fraction form
    122.98/183.66 = 116.74/x
  3. Step 3: Cross multiply
    122.98x = 183.66 × 116.74
  4. Step 4: Simplify right side
    122.98x = 21,440.47
  5. Step 5: Solve for x
    x = 21,440.47/122.98
  6. Step 6: Final answer
    x = 174.34

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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.