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Finding the Fourth Proportional to 415.94, 624.27 and 159.62

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Solution

The fourth proportional to 415.94, 624.27 and 159.62 is: 239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.94 : 624.27 = 159.62 : x
  2. Step 2: Convert to fraction form
    415.94/624.27 = 159.62/x
  3. Step 3: Cross multiply
    415.94x = 624.27 × 159.62
  4. Step 4: Simplify right side
    415.94x = 99,645.98
  5. Step 5: Solve for x
    x = 99,645.98/415.94
  6. Step 6: Final answer
    x = 239.57

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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.