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Finding the Fourth Proportional to 286.88, 427.94 and 259.52

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Solution

The fourth proportional to 286.88, 427.94 and 259.52 is: 387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.88 : 427.94 = 259.52 : x
  2. Step 2: Convert to fraction form
    286.88/427.94 = 259.52/x
  3. Step 3: Cross multiply
    286.88x = 427.94 × 259.52
  4. Step 4: Simplify right side
    286.88x = 111,058.99
  5. Step 5: Solve for x
    x = 111,058.99/286.88
  6. Step 6: Final answer
    x = 387.13

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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.