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Finding the Fourth Proportional to 371.17, 556.94 and 208.81

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Solution

The fourth proportional to 371.17, 556.94 and 208.81 is: 313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.17 : 556.94 = 208.81 : x
  2. Step 2: Convert to fraction form
    371.17/556.94 = 208.81/x
  3. Step 3: Cross multiply
    371.17x = 556.94 × 208.81
  4. Step 4: Simplify right side
    371.17x = 116,294.64
  5. Step 5: Solve for x
    x = 116,294.64/371.17
  6. Step 6: Final answer
    x = 313.32

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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.