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Finding the Fourth Proportional to 127.86, 190.59 and 127.05

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Solution

The fourth proportional to 127.86, 190.59 and 127.05 is: 189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.86 : 190.59 = 127.05 : x
  2. Step 2: Convert to fraction form
    127.86/190.59 = 127.05/x
  3. Step 3: Cross multiply
    127.86x = 190.59 × 127.05
  4. Step 4: Simplify right side
    127.86x = 24,214.46
  5. Step 5: Solve for x
    x = 24,214.46/127.86
  6. Step 6: Final answer
    x = 189.38

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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.