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Finding the Fourth Proportional to 127.74, 191.40 and 114.83

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Solution

The fourth proportional to 127.74, 191.40 and 114.83 is: 172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.74 : 191.40 = 114.83 : x
  2. Step 2: Convert to fraction form
    127.74/191.40 = 114.83/x
  3. Step 3: Cross multiply
    127.74x = 191.40 × 114.83
  4. Step 4: Simplify right side
    127.74x = 21,977.51
  5. Step 5: Solve for x
    x = 21,977.51/127.74
  6. Step 6: Final answer
    x = 172.05

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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.