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Finding the Fourth Proportional to 265.17, 396.90 and 255.66

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Solution

The fourth proportional to 265.17, 396.90 and 255.66 is: 382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.17 : 396.90 = 255.66 : x
  2. Step 2: Convert to fraction form
    265.17/396.90 = 255.66/x
  3. Step 3: Cross multiply
    265.17x = 396.90 × 255.66
  4. Step 4: Simplify right side
    265.17x = 101,471.45
  5. Step 5: Solve for x
    x = 101,471.45/265.17
  6. Step 6: Final answer
    x = 382.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.