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Finding the Fourth Proportional to 158.09, 216.77 and 142.48

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Solution

The fourth proportional to 158.09, 216.77 and 142.48 is: 195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.09 : 216.77 = 142.48 : x
  2. Step 2: Convert to fraction form
    158.09/216.77 = 142.48/x
  3. Step 3: Cross multiply
    158.09x = 216.77 × 142.48
  4. Step 4: Simplify right side
    158.09x = 30,884.68
  5. Step 5: Solve for x
    x = 30,884.68/158.09
  6. Step 6: Final answer
    x = 195.37

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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.