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Finding the Fourth Proportional to 385.56, 531.77 and 261.23

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Solution

The fourth proportional to 385.56, 531.77 and 261.23 is: 360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.56 : 531.77 = 261.23 : x
  2. Step 2: Convert to fraction form
    385.56/531.77 = 261.23/x
  3. Step 3: Cross multiply
    385.56x = 531.77 × 261.23
  4. Step 4: Simplify right side
    385.56x = 138,910.31
  5. Step 5: Solve for x
    x = 138,910.31/385.56
  6. Step 6: Final answer
    x = 360.28

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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.