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Finding the Fourth Proportional to 370.27, 555.41 and 126.80

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Solution

The fourth proportional to 370.27, 555.41 and 126.80 is: 190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.27 : 555.41 = 126.80 : x
  2. Step 2: Convert to fraction form
    370.27/555.41 = 126.80/x
  3. Step 3: Cross multiply
    370.27x = 555.41 × 126.80
  4. Step 4: Simplify right side
    370.27x = 70,424.90
  5. Step 5: Solve for x
    x = 70,424.90/370.27
  6. Step 6: Final answer
    x = 190.20

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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.