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Finding the Fourth Proportional to 123.16, 183.36 and 121.46

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Solution

The fourth proportional to 123.16, 183.36 and 121.46 is: 180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.16 : 183.36 = 121.46 : x
  2. Step 2: Convert to fraction form
    123.16/183.36 = 121.46/x
  3. Step 3: Cross multiply
    123.16x = 183.36 × 121.46
  4. Step 4: Simplify right side
    123.16x = 22,270.91
  5. Step 5: Solve for x
    x = 22,270.91/123.16
  6. Step 6: Final answer
    x = 180.83

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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.