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Finding the Fourth Proportional to 406, 560.31 and 231.34

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Solution

The fourth proportional to 406, 560.31 and 231.34 is: 319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 560.31 = 231.34 : x
  2. Step 2: Convert to fraction form
    406/560.31 = 231.34/x
  3. Step 3: Cross multiply
    406x = 560.31 × 231.34
  4. Step 4: Simplify right side
    406x = 129,622.12
  5. Step 5: Solve for x
    x = 129,622.12/406
  6. Step 6: Final answer
    x = 319.27

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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.