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Finding the Fourth Proportional to 127.20, 189.59 and 127.00

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Solution

The fourth proportional to 127.20, 189.59 and 127.00 is: 189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.20 : 189.59 = 127.00 : x
  2. Step 2: Convert to fraction form
    127.20/189.59 = 127.00/x
  3. Step 3: Cross multiply
    127.20x = 189.59 × 127.00
  4. Step 4: Simplify right side
    127.20x = 24,076.98
  5. Step 5: Solve for x
    x = 24,076.98/127.20
  6. Step 6: Final answer
    x = 189.28

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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.