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Finding the Fourth Proportional to 1,238.18, 1,857.22 and 313.76

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Solution

The fourth proportional to 1,238.18, 1,857.22 and 313.76 is: 470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.18 : 1,857.22 = 313.76 : x
  2. Step 2: Convert to fraction form
    1,238.18/1,857.22 = 313.76/x
  3. Step 3: Cross multiply
    1,238.18x = 1,857.22 × 313.76
  4. Step 4: Simplify right side
    1,238.18x = 582,725.21
  5. Step 5: Solve for x
    x = 582,725.21/1,238.18
  6. Step 6: Final answer
    x = 470.63

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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.