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Finding the Fourth Proportional to 385.98, 578.94 and 129.48

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Solution

The fourth proportional to 385.98, 578.94 and 129.48 is: 194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.98 : 578.94 = 129.48 : x
  2. Step 2: Convert to fraction form
    385.98/578.94 = 129.48/x
  3. Step 3: Cross multiply
    385.98x = 578.94 × 129.48
  4. Step 4: Simplify right side
    385.98x = 74,961.15
  5. Step 5: Solve for x
    x = 74,961.15/385.98
  6. Step 6: Final answer
    x = 194.21

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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.