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Finding the Fourth Proportional to 655, 982.50 and 270.26

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Solution

The fourth proportional to 655, 982.50 and 270.26 is: 405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    655 : 982.50 = 270.26 : x
  2. Step 2: Convert to fraction form
    655/982.50 = 270.26/x
  3. Step 3: Cross multiply
    655x = 982.50 × 270.26
  4. Step 4: Simplify right side
    655x = 265,530.45
  5. Step 5: Solve for x
    x = 265,530.45/655
  6. Step 6: Final answer
    x = 405.39

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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.