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Finding the Fourth Proportional to 385.97, 581.79 and 353.11

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Solution

The fourth proportional to 385.97, 581.79 and 353.11 is: 532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.97 : 581.79 = 353.11 : x
  2. Step 2: Convert to fraction form
    385.97/581.79 = 353.11/x
  3. Step 3: Cross multiply
    385.97x = 581.79 × 353.11
  4. Step 4: Simplify right side
    385.97x = 205,435.87
  5. Step 5: Solve for x
    x = 205,435.87/385.97
  6. Step 6: Final answer
    x = 532.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.