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Finding the Fourth Proportional to 255.20, 351.63 and 234.23

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Solution

The fourth proportional to 255.20, 351.63 and 234.23 is: 322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.20 : 351.63 = 234.23 : x
  2. Step 2: Convert to fraction form
    255.20/351.63 = 234.23/x
  3. Step 3: Cross multiply
    255.20x = 351.63 × 234.23
  4. Step 4: Simplify right side
    255.20x = 82,362.29
  5. Step 5: Solve for x
    x = 82,362.29/255.20
  6. Step 6: Final answer
    x = 322.74

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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.