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Finding the Fourth Proportional to 265.44, 400.44 and 255.36

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Solution

The fourth proportional to 265.44, 400.44 and 255.36 is: 385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.44 : 400.44 = 255.36 : x
  2. Step 2: Convert to fraction form
    265.44/400.44 = 255.36/x
  3. Step 3: Cross multiply
    265.44x = 400.44 × 255.36
  4. Step 4: Simplify right side
    265.44x = 102,256.36
  5. Step 5: Solve for x
    x = 102,256.36/265.44
  6. Step 6: Final answer
    x = 385.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.