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Finding the Fourth Proportional to 127.90, 192.15 and 105.22

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Solution

The fourth proportional to 127.90, 192.15 and 105.22 is: 158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.90 : 192.15 = 105.22 : x
  2. Step 2: Convert to fraction form
    127.90/192.15 = 105.22/x
  3. Step 3: Cross multiply
    127.90x = 192.15 × 105.22
  4. Step 4: Simplify right side
    127.90x = 20,218.02
  5. Step 5: Solve for x
    x = 20,218.02/127.90
  6. Step 6: Final answer
    x = 158.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.