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Finding the Fourth Proportional to 371.28, 557.32 and 209.28

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Solution

The fourth proportional to 371.28, 557.32 and 209.28 is: 314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.28 : 557.32 = 209.28 : x
  2. Step 2: Convert to fraction form
    371.28/557.32 = 209.28/x
  3. Step 3: Cross multiply
    371.28x = 557.32 × 209.28
  4. Step 4: Simplify right side
    371.28x = 116,635.93
  5. Step 5: Solve for x
    x = 116,635.93/371.28
  6. Step 6: Final answer
    x = 314.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.