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Finding the Fourth Proportional to 265.96, 396.04 and 262.72

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Solution

The fourth proportional to 265.96, 396.04 and 262.72 is: 391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.96 : 396.04 = 262.72 : x
  2. Step 2: Convert to fraction form
    265.96/396.04 = 262.72/x
  3. Step 3: Cross multiply
    265.96x = 396.04 × 262.72
  4. Step 4: Simplify right side
    265.96x = 104,047.63
  5. Step 5: Solve for x
    x = 104,047.63/265.96
  6. Step 6: Final answer
    x = 391.22

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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.