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Finding the Fourth Proportional to 255.65, 352.32 and 208.87

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Solution

The fourth proportional to 255.65, 352.32 and 208.87 is: 287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.65 : 352.32 = 208.87 : x
  2. Step 2: Convert to fraction form
    255.65/352.32 = 208.87/x
  3. Step 3: Cross multiply
    255.65x = 352.32 × 208.87
  4. Step 4: Simplify right side
    255.65x = 73,588.03
  5. Step 5: Solve for x
    x = 73,588.03/255.65
  6. Step 6: Final answer
    x = 287.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.