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Finding the Fourth Proportional to 385, 531.42 and 229.72

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Solution

The fourth proportional to 385, 531.42 and 229.72 is: 317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    385 : 531.42 = 229.72 : x
  2. Step 2: Convert to fraction form
    385/531.42 = 229.72/x
  3. Step 3: Cross multiply
    385x = 531.42 × 229.72
  4. Step 4: Simplify right side
    385x = 122,077.80
  5. Step 5: Solve for x
    x = 122,077.80/385
  6. Step 6: Final answer
    x = 317.09

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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.