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Finding the Fourth Proportional to 255.16, 351.34 and 218.23

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Solution

The fourth proportional to 255.16, 351.34 and 218.23 is: 300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.16 : 351.34 = 218.23 : x
  2. Step 2: Convert to fraction form
    255.16/351.34 = 218.23/x
  3. Step 3: Cross multiply
    255.16x = 351.34 × 218.23
  4. Step 4: Simplify right side
    255.16x = 76,672.93
  5. Step 5: Solve for x
    x = 76,672.93/255.16
  6. Step 6: Final answer
    x = 300.49

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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.