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Finding the Fourth Proportional to 286.80, 428.08 and 281.44

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Solution

The fourth proportional to 286.80, 428.08 and 281.44 is: 420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.80 : 428.08 = 281.44 : x
  2. Step 2: Convert to fraction form
    286.80/428.08 = 281.44/x
  3. Step 3: Cross multiply
    286.80x = 428.08 × 281.44
  4. Step 4: Simplify right side
    286.80x = 120,478.84
  5. Step 5: Solve for x
    x = 120,478.84/286.80
  6. Step 6: Final answer
    x = 420.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.