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Finding the Fourth Proportional to 146.69, 219.00 and 121.06

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Solution

The fourth proportional to 146.69, 219.00 and 121.06 is: 180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.69 : 219.00 = 121.06 : x
  2. Step 2: Convert to fraction form
    146.69/219.00 = 121.06/x
  3. Step 3: Cross multiply
    146.69x = 219.00 × 121.06
  4. Step 4: Simplify right side
    146.69x = 26,511.53
  5. Step 5: Solve for x
    x = 26,511.53/146.69
  6. Step 6: Final answer
    x = 180.74

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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.