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Finding the Fourth Proportional to 385.13, 580.82 and 355.05

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Solution

The fourth proportional to 385.13, 580.82 and 355.05 is: 535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.13 : 580.82 = 355.05 : x
  2. Step 2: Convert to fraction form
    385.13/580.82 = 355.05/x
  3. Step 3: Cross multiply
    385.13x = 580.82 × 355.05
  4. Step 4: Simplify right side
    385.13x = 206,218.37
  5. Step 5: Solve for x
    x = 206,218.37/385.13
  6. Step 6: Final answer
    x = 535.45

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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.