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Finding the Fourth Proportional to 275.06, 412.61 and 82.69

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Solution

The fourth proportional to 275.06, 412.61 and 82.69 is: 124.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.06 : 412.61 = 82.69 : x
  2. Step 2: Convert to fraction form
    275.06/412.61 = 82.69/x
  3. Step 3: Cross multiply
    275.06x = 412.61 × 82.69
  4. Step 4: Simplify right side
    275.06x = 34,117.28
  5. Step 5: Solve for x
    x = 34,117.28/275.06
  6. Step 6: Final answer
    x = 124.03

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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.