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Finding the Fourth Proportional to 143.58, 214.38 and 120.84

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Solution

The fourth proportional to 143.58, 214.38 and 120.84 is: 180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.58 : 214.38 = 120.84 : x
  2. Step 2: Convert to fraction form
    143.58/214.38 = 120.84/x
  3. Step 3: Cross multiply
    143.58x = 214.38 × 120.84
  4. Step 4: Simplify right side
    143.58x = 25,905.68
  5. Step 5: Solve for x
    x = 25,905.68/143.58
  6. Step 6: Final answer
    x = 180.43

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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.