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Finding the Fourth Proportional to 255.60, 351.81 and 222.66

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Solution

The fourth proportional to 255.60, 351.81 and 222.66 is: 306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.60 : 351.81 = 222.66 : x
  2. Step 2: Convert to fraction form
    255.60/351.81 = 222.66/x
  3. Step 3: Cross multiply
    255.60x = 351.81 × 222.66
  4. Step 4: Simplify right side
    255.60x = 78,334.01
  5. Step 5: Solve for x
    x = 78,334.01/255.60
  6. Step 6: Final answer
    x = 306.47

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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.