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Finding the Fourth Proportional to 275.07, 412.59 and 82.70

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Solution

The fourth proportional to 275.07, 412.59 and 82.70 is: 124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.07 : 412.59 = 82.70 : x
  2. Step 2: Convert to fraction form
    275.07/412.59 = 82.70/x
  3. Step 3: Cross multiply
    275.07x = 412.59 × 82.70
  4. Step 4: Simplify right side
    275.07x = 34,121.19
  5. Step 5: Solve for x
    x = 34,121.19/275.07
  6. Step 6: Final answer
    x = 124.05

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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.