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Finding the Fourth Proportional to 286.30, 430.09 and 275.50

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Solution

The fourth proportional to 286.30, 430.09 and 275.50 is: 413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.30 : 430.09 = 275.50 : x
  2. Step 2: Convert to fraction form
    286.30/430.09 = 275.50/x
  3. Step 3: Cross multiply
    286.30x = 430.09 × 275.50
  4. Step 4: Simplify right side
    286.30x = 118,489.80
  5. Step 5: Solve for x
    x = 118,489.80/286.30
  6. Step 6: Final answer
    x = 413.87

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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.