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Finding the Fourth Proportional to 286.05, 428.97 and 93.63

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Solution

The fourth proportional to 286.05, 428.97 and 93.63 is: 140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.05 : 428.97 = 93.63 : x
  2. Step 2: Convert to fraction form
    286.05/428.97 = 93.63/x
  3. Step 3: Cross multiply
    286.05x = 428.97 × 93.63
  4. Step 4: Simplify right side
    286.05x = 40,164.46
  5. Step 5: Solve for x
    x = 40,164.46/286.05
  6. Step 6: Final answer
    x = 140.41

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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.