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Finding the Fourth Proportional to 286.85, 427.89 and 259.17

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Solution

The fourth proportional to 286.85, 427.89 and 259.17 is: 386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.85 : 427.89 = 259.17 : x
  2. Step 2: Convert to fraction form
    286.85/427.89 = 259.17/x
  3. Step 3: Cross multiply
    286.85x = 427.89 × 259.17
  4. Step 4: Simplify right side
    286.85x = 110,895.07
  5. Step 5: Solve for x
    x = 110,895.07/286.85
  6. Step 6: Final answer
    x = 386.59

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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.