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Finding the Fourth Proportional to 144.01, 214.75 and 121.33

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Solution

The fourth proportional to 144.01, 214.75 and 121.33 is: 180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.01 : 214.75 = 121.33 : x
  2. Step 2: Convert to fraction form
    144.01/214.75 = 121.33/x
  3. Step 3: Cross multiply
    144.01x = 214.75 × 121.33
  4. Step 4: Simplify right side
    144.01x = 26,055.62
  5. Step 5: Solve for x
    x = 26,055.62/144.01
  6. Step 6: Final answer
    x = 180.93

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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.