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Finding the Fourth Proportional to 142.20, 194.40 and 141.60

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Solution

The fourth proportional to 142.20, 194.40 and 141.60 is: 193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.20 : 194.40 = 141.60 : x
  2. Step 2: Convert to fraction form
    142.20/194.40 = 141.60/x
  3. Step 3: Cross multiply
    142.20x = 194.40 × 141.60
  4. Step 4: Simplify right side
    142.20x = 27,527.04
  5. Step 5: Solve for x
    x = 27,527.04/142.20
  6. Step 6: Final answer
    x = 193.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.