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Finding the Fourth Proportional to 331.12, 457.04 and 226.16

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Solution

The fourth proportional to 331.12, 457.04 and 226.16 is: 312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.12 : 457.04 = 226.16 : x
  2. Step 2: Convert to fraction form
    331.12/457.04 = 226.16/x
  3. Step 3: Cross multiply
    331.12x = 457.04 × 226.16
  4. Step 4: Simplify right side
    331.12x = 103,364.17
  5. Step 5: Solve for x
    x = 103,364.17/331.12
  6. Step 6: Final answer
    x = 312.17

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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.