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Finding the Fourth Proportional to 275.00, 412.51 and 92.39

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Solution

The fourth proportional to 275.00, 412.51 and 92.39 is: 138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.00 : 412.51 = 92.39 : x
  2. Step 2: Convert to fraction form
    275.00/412.51 = 92.39/x
  3. Step 3: Cross multiply
    275.00x = 412.51 × 92.39
  4. Step 4: Simplify right side
    275.00x = 38,112.95
  5. Step 5: Solve for x
    x = 38,112.95/275.00
  6. Step 6: Final answer
    x = 138.60

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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.