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Finding the Fourth Proportional to 255.96, 378.72 and 255.24

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Solution

The fourth proportional to 255.96, 378.72 and 255.24 is: 377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.96 : 378.72 = 255.24 : x
  2. Step 2: Convert to fraction form
    255.96/378.72 = 255.24/x
  3. Step 3: Cross multiply
    255.96x = 378.72 × 255.24
  4. Step 4: Simplify right side
    255.96x = 96,664.49
  5. Step 5: Solve for x
    x = 96,664.49/255.96
  6. Step 6: Final answer
    x = 377.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.