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Finding the Fourth Proportional to 286.50, 426.48 and 278.40

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Solution

The fourth proportional to 286.50, 426.48 and 278.40 is: 414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.50 : 426.48 = 278.40 : x
  2. Step 2: Convert to fraction form
    286.50/426.48 = 278.40/x
  3. Step 3: Cross multiply
    286.50x = 426.48 × 278.40
  4. Step 4: Simplify right side
    286.50x = 118,732.03
  5. Step 5: Solve for x
    x = 118,732.03/286.50
  6. Step 6: Final answer
    x = 414.42

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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.