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Finding the Fourth Proportional to 255.24, 380.89 and 234.56

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Solution

The fourth proportional to 255.24, 380.89 and 234.56 is: 350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.24 : 380.89 = 234.56 : x
  2. Step 2: Convert to fraction form
    255.24/380.89 = 234.56/x
  3. Step 3: Cross multiply
    255.24x = 380.89 × 234.56
  4. Step 4: Simplify right side
    255.24x = 89,341.56
  5. Step 5: Solve for x
    x = 89,341.56/255.24
  6. Step 6: Final answer
    x = 350.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.