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Finding the Fourth Proportional to 255.73, 351.55 and 220.15

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Solution

The fourth proportional to 255.73, 351.55 and 220.15 is: 302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.73 : 351.55 = 220.15 : x
  2. Step 2: Convert to fraction form
    255.73/351.55 = 220.15/x
  3. Step 3: Cross multiply
    255.73x = 351.55 × 220.15
  4. Step 4: Simplify right side
    255.73x = 77,393.73
  5. Step 5: Solve for x
    x = 77,393.73/255.73
  6. Step 6: Final answer
    x = 302.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.