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Finding the Fourth Proportional to 386.26, 533.01 and 261.97

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Solution

The fourth proportional to 386.26, 533.01 and 261.97 is: 361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.26 : 533.01 = 261.97 : x
  2. Step 2: Convert to fraction form
    386.26/533.01 = 261.97/x
  3. Step 3: Cross multiply
    386.26x = 533.01 × 261.97
  4. Step 4: Simplify right side
    386.26x = 139,632.63
  5. Step 5: Solve for x
    x = 139,632.63/386.26
  6. Step 6: Final answer
    x = 361.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.