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Finding the Fourth Proportional to 146.40, 201.84 and 121.41

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Solution

The fourth proportional to 146.40, 201.84 and 121.41 is: 167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.40 : 201.84 = 121.41 : x
  2. Step 2: Convert to fraction form
    146.40/201.84 = 121.41/x
  3. Step 3: Cross multiply
    146.40x = 201.84 × 121.41
  4. Step 4: Simplify right side
    146.40x = 24,504.71
  5. Step 5: Solve for x
    x = 24,504.71/146.40
  6. Step 6: Final answer
    x = 167.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.