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Finding the Fourth Proportional to 371.36, 556.72 and 209.28

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Solution

The fourth proportional to 371.36, 556.72 and 209.28 is: 313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.36 : 556.72 = 209.28 : x
  2. Step 2: Convert to fraction form
    371.36/556.72 = 209.28/x
  3. Step 3: Cross multiply
    371.36x = 556.72 × 209.28
  4. Step 4: Simplify right side
    371.36x = 116,510.36
  5. Step 5: Solve for x
    x = 116,510.36/371.36
  6. Step 6: Final answer
    x = 313.74

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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.