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Finding the Fourth Proportional to 121.40, 183.03 and 120.04

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Solution

The fourth proportional to 121.40, 183.03 and 120.04 is: 180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.40 : 183.03 = 120.04 : x
  2. Step 2: Convert to fraction form
    121.40/183.03 = 120.04/x
  3. Step 3: Cross multiply
    121.40x = 183.03 × 120.04
  4. Step 4: Simplify right side
    121.40x = 21,970.92
  5. Step 5: Solve for x
    x = 21,970.92/121.40
  6. Step 6: Final answer
    x = 180.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.