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Finding the Fourth Proportional to 263.54, 361.26 and 261.12

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Solution

The fourth proportional to 263.54, 361.26 and 261.12 is: 357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.54 : 361.26 = 261.12 : x
  2. Step 2: Convert to fraction form
    263.54/361.26 = 261.12/x
  3. Step 3: Cross multiply
    263.54x = 361.26 × 261.12
  4. Step 4: Simplify right side
    263.54x = 94,332.21
  5. Step 5: Solve for x
    x = 94,332.21/263.54
  6. Step 6: Final answer
    x = 357.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.