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Finding the Fourth Proportional to 286.94, 430.41 and 94.57

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Solution

The fourth proportional to 286.94, 430.41 and 94.57 is: 141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.94 : 430.41 = 94.57 : x
  2. Step 2: Convert to fraction form
    286.94/430.41 = 94.57/x
  3. Step 3: Cross multiply
    286.94x = 430.41 × 94.57
  4. Step 4: Simplify right side
    286.94x = 40,701.25
  5. Step 5: Solve for x
    x = 40,701.25/286.94
  6. Step 6: Final answer
    x = 141.85

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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.