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Finding the Fourth Proportional to 286.34, 431.73 and 259.61

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Solution

The fourth proportional to 286.34, 431.73 and 259.61 is: 391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.34 : 431.73 = 259.61 : x
  2. Step 2: Convert to fraction form
    286.34/431.73 = 259.61/x
  3. Step 3: Cross multiply
    286.34x = 431.73 × 259.61
  4. Step 4: Simplify right side
    286.34x = 112,079.27
  5. Step 5: Solve for x
    x = 112,079.27/286.34
  6. Step 6: Final answer
    x = 391.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.