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Finding the Fourth Proportional to 286.44, 429.18 and 141.80

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Solution

The fourth proportional to 286.44, 429.18 and 141.80 is: 212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.44 : 429.18 = 141.80 : x
  2. Step 2: Convert to fraction form
    286.44/429.18 = 141.80/x
  3. Step 3: Cross multiply
    286.44x = 429.18 × 141.80
  4. Step 4: Simplify right side
    286.44x = 60,857.72
  5. Step 5: Solve for x
    x = 60,857.72/286.44
  6. Step 6: Final answer
    x = 212.46

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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.