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Finding the Fourth Proportional to 122.63, 183.08 and 118.36

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Solution

The fourth proportional to 122.63, 183.08 and 118.36 is: 176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.63 : 183.08 = 118.36 : x
  2. Step 2: Convert to fraction form
    122.63/183.08 = 118.36/x
  3. Step 3: Cross multiply
    122.63x = 183.08 × 118.36
  4. Step 4: Simplify right side
    122.63x = 21,669.35
  5. Step 5: Solve for x
    x = 21,669.35/122.63
  6. Step 6: Final answer
    x = 176.71

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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.