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Finding the Fourth Proportional to 286.16, 426.16 and 273.68

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Solution

The fourth proportional to 286.16, 426.16 and 273.68 is: 407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.16 : 426.16 = 273.68 : x
  2. Step 2: Convert to fraction form
    286.16/426.16 = 273.68/x
  3. Step 3: Cross multiply
    286.16x = 426.16 × 273.68
  4. Step 4: Simplify right side
    286.16x = 116,631.47
  5. Step 5: Solve for x
    x = 116,631.47/286.16
  6. Step 6: Final answer
    x = 407.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.