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Finding the Fourth Proportional to 277.65, 416.49 and 82.68

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Solution

The fourth proportional to 277.65, 416.49 and 82.68 is: 124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.65 : 416.49 = 82.68 : x
  2. Step 2: Convert to fraction form
    277.65/416.49 = 82.68/x
  3. Step 3: Cross multiply
    277.65x = 416.49 × 82.68
  4. Step 4: Simplify right side
    277.65x = 34,435.39
  5. Step 5: Solve for x
    x = 34,435.39/277.65
  6. Step 6: Final answer
    x = 124.02

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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.