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Finding the Fourth Proportional to 371.52, 556.08 and 208.64

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Solution

The fourth proportional to 371.52, 556.08 and 208.64 is: 312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.52 : 556.08 = 208.64 : x
  2. Step 2: Convert to fraction form
    371.52/556.08 = 208.64/x
  3. Step 3: Cross multiply
    371.52x = 556.08 × 208.64
  4. Step 4: Simplify right side
    371.52x = 116,020.53
  5. Step 5: Solve for x
    x = 116,020.53/371.52
  6. Step 6: Final answer
    x = 312.29

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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.