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Finding the Fourth Proportional to 286.98, 427.99 and 280.00

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Solution

The fourth proportional to 286.98, 427.99 and 280.00 is: 417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.98 : 427.99 = 280.00 : x
  2. Step 2: Convert to fraction form
    286.98/427.99 = 280.00/x
  3. Step 3: Cross multiply
    286.98x = 427.99 × 280.00
  4. Step 4: Simplify right side
    286.98x = 119,836.36
  5. Step 5: Solve for x
    x = 119,836.36/286.98
  6. Step 6: Final answer
    x = 417.57

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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.