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Finding the Fourth Proportional to 286.49, 429.75 and 81.08

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Solution

The fourth proportional to 286.49, 429.75 and 81.08 is: 121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.49 : 429.75 = 81.08 : x
  2. Step 2: Convert to fraction form
    286.49/429.75 = 81.08/x
  3. Step 3: Cross multiply
    286.49x = 429.75 × 81.08
  4. Step 4: Simplify right side
    286.49x = 34,844.13
  5. Step 5: Solve for x
    x = 34,844.13/286.49
  6. Step 6: Final answer
    x = 121.62

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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.