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Finding the Fourth Proportional to 127.90, 192.05 and 100.77

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Solution

The fourth proportional to 127.90, 192.05 and 100.77 is: 151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.90 : 192.05 = 100.77 : x
  2. Step 2: Convert to fraction form
    127.90/192.05 = 100.77/x
  3. Step 3: Cross multiply
    127.90x = 192.05 × 100.77
  4. Step 4: Simplify right side
    127.90x = 19,352.88
  5. Step 5: Solve for x
    x = 19,352.88/127.90
  6. Step 6: Final answer
    x = 151.31

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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.