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Finding the Fourth Proportional to 286.08, 426.66 and 277.20

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Solution

The fourth proportional to 286.08, 426.66 and 277.20 is: 413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.08 : 426.66 = 277.20 : x
  2. Step 2: Convert to fraction form
    286.08/426.66 = 277.20/x
  3. Step 3: Cross multiply
    286.08x = 426.66 × 277.20
  4. Step 4: Simplify right side
    286.08x = 118,270.15
  5. Step 5: Solve for x
    x = 118,270.15/286.08
  6. Step 6: Final answer
    x = 413.42

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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.