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Finding the Fourth Proportional to 371.30, 557.45 and 209.09

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Solution

The fourth proportional to 371.30, 557.45 and 209.09 is: 313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.30 : 557.45 = 209.09 : x
  2. Step 2: Convert to fraction form
    371.30/557.45 = 209.09/x
  3. Step 3: Cross multiply
    371.30x = 557.45 × 209.09
  4. Step 4: Simplify right side
    371.30x = 116,559.14
  5. Step 5: Solve for x
    x = 116,559.14/371.30
  6. Step 6: Final answer
    x = 313.93

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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.