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Finding the Fourth Proportional to 199.40, 298.70 and 127

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Solution

The fourth proportional to 199.40, 298.70 and 127 is: 190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.40 : 298.70 = 127 : x
  2. Step 2: Convert to fraction form
    199.40/298.70 = 127/x
  3. Step 3: Cross multiply
    199.40x = 298.70 × 127
  4. Step 4: Simplify right side
    199.40x = 37,934.90
  5. Step 5: Solve for x
    x = 37,934.90/199.40
  6. Step 6: Final answer
    x = 190.25

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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.