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Finding the Fourth Proportional to 265.21, 395.50 and 262.78

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Solution

The fourth proportional to 265.21, 395.50 and 262.78 is: 391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.21 : 395.50 = 262.78 : x
  2. Step 2: Convert to fraction form
    265.21/395.50 = 262.78/x
  3. Step 3: Cross multiply
    265.21x = 395.50 × 262.78
  4. Step 4: Simplify right side
    265.21x = 103,929.49
  5. Step 5: Solve for x
    x = 103,929.49/265.21
  6. Step 6: Final answer
    x = 391.88

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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.