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Finding the Fourth Proportional to 121.36, 181.16 and 104.16

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Solution

The fourth proportional to 121.36, 181.16 and 104.16 is: 155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.36 : 181.16 = 104.16 : x
  2. Step 2: Convert to fraction form
    121.36/181.16 = 104.16/x
  3. Step 3: Cross multiply
    121.36x = 181.16 × 104.16
  4. Step 4: Simplify right side
    121.36x = 18,869.63
  5. Step 5: Solve for x
    x = 18,869.63/121.36
  6. Step 6: Final answer
    x = 155.48

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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.