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Finding the Fourth Proportional to 285.82, 429.41 and 183.30

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Solution

The fourth proportional to 285.82, 429.41 and 183.30 is: 275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.82 : 429.41 = 183.30 : x
  2. Step 2: Convert to fraction form
    285.82/429.41 = 183.30/x
  3. Step 3: Cross multiply
    285.82x = 429.41 × 183.30
  4. Step 4: Simplify right side
    285.82x = 78,709.94
  5. Step 5: Solve for x
    x = 78,709.94/285.82
  6. Step 6: Final answer
    x = 275.39

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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.