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Finding the Fourth Proportional to 286.32, 429.20 and 189.92

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Solution

The fourth proportional to 286.32, 429.20 and 189.92 is: 284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.32 : 429.20 = 189.92 : x
  2. Step 2: Convert to fraction form
    286.32/429.20 = 189.92/x
  3. Step 3: Cross multiply
    286.32x = 429.20 × 189.92
  4. Step 4: Simplify right side
    286.32x = 81,513.66
  5. Step 5: Solve for x
    x = 81,513.66/286.32
  6. Step 6: Final answer
    x = 284.69

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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.