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Finding the Fourth Proportional to 468.64, 702.79 and 194.59

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Solution

The fourth proportional to 468.64, 702.79 and 194.59 is: 291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.64 : 702.79 = 194.59 : x
  2. Step 2: Convert to fraction form
    468.64/702.79 = 194.59/x
  3. Step 3: Cross multiply
    468.64x = 702.79 × 194.59
  4. Step 4: Simplify right side
    468.64x = 136,753.44
  5. Step 5: Solve for x
    x = 136,753.44/468.64
  6. Step 6: Final answer
    x = 291.81

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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.