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Finding the Fourth Proportional to 142.83, 195.91 and 140.18

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Solution

The fourth proportional to 142.83, 195.91 and 140.18 is: 192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.83 : 195.91 = 140.18 : x
  2. Step 2: Convert to fraction form
    142.83/195.91 = 140.18/x
  3. Step 3: Cross multiply
    142.83x = 195.91 × 140.18
  4. Step 4: Simplify right side
    142.83x = 27,461.33
  5. Step 5: Solve for x
    x = 27,461.33/142.83
  6. Step 6: Final answer
    x = 192.27

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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.