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Finding the Fourth Proportional to 286.29, 429.41 and 91.28

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Solution

The fourth proportional to 286.29, 429.41 and 91.28 is: 136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.29 : 429.41 = 91.28 : x
  2. Step 2: Convert to fraction form
    286.29/429.41 = 91.28/x
  3. Step 3: Cross multiply
    286.29x = 429.41 × 91.28
  4. Step 4: Simplify right side
    286.29x = 39,197.08
  5. Step 5: Solve for x
    x = 39,197.08/286.29
  6. Step 6: Final answer
    x = 136.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.