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Finding the Fourth Proportional to 287.08, 429.87 and 234.82

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Solution

The fourth proportional to 287.08, 429.87 and 234.82 is: 351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.08 : 429.87 = 234.82 : x
  2. Step 2: Convert to fraction form
    287.08/429.87 = 234.82/x
  3. Step 3: Cross multiply
    287.08x = 429.87 × 234.82
  4. Step 4: Simplify right side
    287.08x = 100,942.07
  5. Step 5: Solve for x
    x = 100,942.07/287.08
  6. Step 6: Final answer
    x = 351.62

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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.