Home / 1,238.30-1,857.70-360.80

Finding the Fourth Proportional to 1,238.30, 1,857.70 and 360.80

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Solution

The fourth proportional to 1,238.30, 1,857.70 and 360.80 is: 541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.30 : 1,857.70 = 360.80 : x
  2. Step 2: Convert to fraction form
    1,238.30/1,857.70 = 360.80/x
  3. Step 3: Cross multiply
    1,238.30x = 1,857.70 × 360.80
  4. Step 4: Simplify right side
    1,238.30x = 670,258.16
  5. Step 5: Solve for x
    x = 670,258.16/1,238.30
  6. Step 6: Final answer
    x = 541.27

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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.