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Finding the Fourth Proportional to 371.01, 556.92 and 208.74

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Solution

The fourth proportional to 371.01, 556.92 and 208.74 is: 313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.01 : 556.92 = 208.74 : x
  2. Step 2: Convert to fraction form
    371.01/556.92 = 208.74/x
  3. Step 3: Cross multiply
    371.01x = 556.92 × 208.74
  4. Step 4: Simplify right side
    371.01x = 116,251.48
  5. Step 5: Solve for x
    x = 116,251.48/371.01
  6. Step 6: Final answer
    x = 313.34

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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.