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Finding the Fourth Proportional to 468.57, 702.72 and 179.94

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Solution

The fourth proportional to 468.57, 702.72 and 179.94 is: 269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.57 : 702.72 = 179.94 : x
  2. Step 2: Convert to fraction form
    468.57/702.72 = 179.94/x
  3. Step 3: Cross multiply
    468.57x = 702.72 × 179.94
  4. Step 4: Simplify right side
    468.57x = 126,447.44
  5. Step 5: Solve for x
    x = 126,447.44/468.57
  6. Step 6: Final answer
    x = 269.86

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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.