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Finding the Fourth Proportional to 415.61, 623.65 and 350.31

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Solution

The fourth proportional to 415.61, 623.65 and 350.31 is: 525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.61 : 623.65 = 350.31 : x
  2. Step 2: Convert to fraction form
    415.61/623.65 = 350.31/x
  3. Step 3: Cross multiply
    415.61x = 623.65 × 350.31
  4. Step 4: Simplify right side
    415.61x = 218,469.44
  5. Step 5: Solve for x
    x = 218,469.44/415.61
  6. Step 6: Final answer
    x = 525.65

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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.