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Finding the Fourth Proportional to 127.49, 192.15 and 116.15

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Solution

The fourth proportional to 127.49, 192.15 and 116.15 is: 175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.49 : 192.15 = 116.15 : x
  2. Step 2: Convert to fraction form
    127.49/192.15 = 116.15/x
  3. Step 3: Cross multiply
    127.49x = 192.15 × 116.15
  4. Step 4: Simplify right side
    127.49x = 22,317.26
  5. Step 5: Solve for x
    x = 22,317.26/127.49
  6. Step 6: Final answer
    x = 175.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.