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Finding the Fourth Proportional to 355.87, 491.21 and 231.31

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Solution

The fourth proportional to 355.87, 491.21 and 231.31 is: 319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.87 : 491.21 = 231.31 : x
  2. Step 2: Convert to fraction form
    355.87/491.21 = 231.31/x
  3. Step 3: Cross multiply
    355.87x = 491.21 × 231.31
  4. Step 4: Simplify right side
    355.87x = 113,621.79
  5. Step 5: Solve for x
    x = 113,621.79/355.87
  6. Step 6: Final answer
    x = 319.28

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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.