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Finding the Fourth Proportional to 255.24, 351.54 and 208.53

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Solution

The fourth proportional to 255.24, 351.54 and 208.53 is: 287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.24 : 351.54 = 208.53 : x
  2. Step 2: Convert to fraction form
    255.24/351.54 = 208.53/x
  3. Step 3: Cross multiply
    255.24x = 351.54 × 208.53
  4. Step 4: Simplify right side
    255.24x = 73,306.64
  5. Step 5: Solve for x
    x = 73,306.64/255.24
  6. Step 6: Final answer
    x = 287.21

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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.