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Finding the Fourth Proportional to 331.87, 458.13 and 226.93

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Solution

The fourth proportional to 331.87, 458.13 and 226.93 is: 313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.87 : 458.13 = 226.93 : x
  2. Step 2: Convert to fraction form
    331.87/458.13 = 226.93/x
  3. Step 3: Cross multiply
    331.87x = 458.13 × 226.93
  4. Step 4: Simplify right side
    331.87x = 103,962.08
  5. Step 5: Solve for x
    x = 103,962.08/331.87
  6. Step 6: Final answer
    x = 313.26

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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.