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Finding the Fourth Proportional to 371.31, 556.43 and 208.65

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Solution

The fourth proportional to 371.31, 556.43 and 208.65 is: 312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.31 : 556.43 = 208.65 : x
  2. Step 2: Convert to fraction form
    371.31/556.43 = 208.65/x
  3. Step 3: Cross multiply
    371.31x = 556.43 × 208.65
  4. Step 4: Simplify right side
    371.31x = 116,095.99
  5. Step 5: Solve for x
    x = 116,095.99/371.31
  6. Step 6: Final answer
    x = 312.67

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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.