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Finding the Fourth Proportional to 127.30, 189.86 and 114.34

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Solution

The fourth proportional to 127.30, 189.86 and 114.34 is: 170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.30 : 189.86 = 114.34 : x
  2. Step 2: Convert to fraction form
    127.30/189.86 = 114.34/x
  3. Step 3: Cross multiply
    127.30x = 189.86 × 114.34
  4. Step 4: Simplify right side
    127.30x = 21,708.59
  5. Step 5: Solve for x
    x = 21,708.59/127.30
  6. Step 6: Final answer
    x = 170.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.