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Finding the Fourth Proportional to 468.41, 702.61 and 211.91

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Solution

The fourth proportional to 468.41, 702.61 and 211.91 is: 317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.41 : 702.61 = 211.91 : x
  2. Step 2: Convert to fraction form
    468.41/702.61 = 211.91/x
  3. Step 3: Cross multiply
    468.41x = 702.61 × 211.91
  4. Step 4: Simplify right side
    468.41x = 148,890.09
  5. Step 5: Solve for x
    x = 148,890.09/468.41
  6. Step 6: Final answer
    x = 317.86

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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.