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Finding the Fourth Proportional to 385.72, 580.02 and 325.24

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Solution

The fourth proportional to 385.72, 580.02 and 325.24 is: 489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.72 : 580.02 = 325.24 : x
  2. Step 2: Convert to fraction form
    385.72/580.02 = 325.24/x
  3. Step 3: Cross multiply
    385.72x = 580.02 × 325.24
  4. Step 4: Simplify right side
    385.72x = 188,645.70
  5. Step 5: Solve for x
    x = 188,645.70/385.72
  6. Step 6: Final answer
    x = 489.07

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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.