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Finding the Fourth Proportional to 286.47, 426.74 and 271.08

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Solution

The fourth proportional to 286.47, 426.74 and 271.08 is: 403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.47 : 426.74 = 271.08 : x
  2. Step 2: Convert to fraction form
    286.47/426.74 = 271.08/x
  3. Step 3: Cross multiply
    286.47x = 426.74 × 271.08
  4. Step 4: Simplify right side
    286.47x = 115,679.32
  5. Step 5: Solve for x
    x = 115,679.32/286.47
  6. Step 6: Final answer
    x = 403.81

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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.