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Finding the Fourth Proportional to 371.28, 555.96 and 208.68

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Solution

The fourth proportional to 371.28, 555.96 and 208.68 is: 312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.28 : 555.96 = 208.68 : x
  2. Step 2: Convert to fraction form
    371.28/555.96 = 208.68/x
  3. Step 3: Cross multiply
    371.28x = 555.96 × 208.68
  4. Step 4: Simplify right side
    371.28x = 116,017.73
  5. Step 5: Solve for x
    x = 116,017.73/371.28
  6. Step 6: Final answer
    x = 312.48

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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.