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Finding the Fourth Proportional to 286.52, 429.63 and 171.09

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Solution

The fourth proportional to 286.52, 429.63 and 171.09 is: 256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.52 : 429.63 = 171.09 : x
  2. Step 2: Convert to fraction form
    286.52/429.63 = 171.09/x
  3. Step 3: Cross multiply
    286.52x = 429.63 × 171.09
  4. Step 4: Simplify right side
    286.52x = 73,505.40
  5. Step 5: Solve for x
    x = 73,505.40/286.52
  6. Step 6: Final answer
    x = 256.55

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