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Finding the Fourth Proportional to 415.31, 623.09 and 184.14

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Solution

The fourth proportional to 415.31, 623.09 and 184.14 is: 276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.31 : 623.09 = 184.14 : x
  2. Step 2: Convert to fraction form
    415.31/623.09 = 184.14/x
  3. Step 3: Cross multiply
    415.31x = 623.09 × 184.14
  4. Step 4: Simplify right side
    415.31x = 114,736.25
  5. Step 5: Solve for x
    x = 114,736.25/415.31
  6. Step 6: Final answer
    x = 276.27

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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.