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Finding the Fourth Proportional to 385.23, 531.63 and 227.83

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Solution

The fourth proportional to 385.23, 531.63 and 227.83 is: 314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.23 : 531.63 = 227.83 : x
  2. Step 2: Convert to fraction form
    385.23/531.63 = 227.83/x
  3. Step 3: Cross multiply
    385.23x = 531.63 × 227.83
  4. Step 4: Simplify right side
    385.23x = 121,121.26
  5. Step 5: Solve for x
    x = 121,121.26/385.23
  6. Step 6: Final answer
    x = 314.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.