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Finding the Fourth Proportional to 286.75, 430.13 and 115.75

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Solution

The fourth proportional to 286.75, 430.13 and 115.75 is: 173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.75 : 430.13 = 115.75 : x
  2. Step 2: Convert to fraction form
    286.75/430.13 = 115.75/x
  3. Step 3: Cross multiply
    286.75x = 430.13 × 115.75
  4. Step 4: Simplify right side
    286.75x = 49,787.55
  5. Step 5: Solve for x
    x = 49,787.55/286.75
  6. Step 6: Final answer
    x = 173.63

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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.