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Finding the Fourth Proportional to 385.16, 580.06 and 350.33

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Solution

The fourth proportional to 385.16, 580.06 and 350.33 is: 527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.16 : 580.06 = 350.33 : x
  2. Step 2: Convert to fraction form
    385.16/580.06 = 350.33/x
  3. Step 3: Cross multiply
    385.16x = 580.06 × 350.33
  4. Step 4: Simplify right side
    385.16x = 203,209.96
  5. Step 5: Solve for x
    x = 203,209.96/385.16
  6. Step 6: Final answer
    x = 527.61

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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.