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Finding the Fourth Proportional to 127.42, 189.87 and 126.35

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Solution

The fourth proportional to 127.42, 189.87 and 126.35 is: 188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.42 : 189.87 = 126.35 : x
  2. Step 2: Convert to fraction form
    127.42/189.87 = 126.35/x
  3. Step 3: Cross multiply
    127.42x = 189.87 × 126.35
  4. Step 4: Simplify right side
    127.42x = 23,990.07
  5. Step 5: Solve for x
    x = 23,990.07/127.42
  6. Step 6: Final answer
    x = 188.28

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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.