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Finding the Fourth Proportional to 142.72, 195.84 and 140.16

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Solution

The fourth proportional to 142.72, 195.84 and 140.16 is: 192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.72 : 195.84 = 140.16 : x
  2. Step 2: Convert to fraction form
    142.72/195.84 = 140.16/x
  3. Step 3: Cross multiply
    142.72x = 195.84 × 140.16
  4. Step 4: Simplify right side
    142.72x = 27,448.93
  5. Step 5: Solve for x
    x = 27,448.93/142.72
  6. Step 6: Final answer
    x = 192.33

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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.