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Finding the Fourth Proportional to 394.29, 544.01 and 226.25

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Solution

The fourth proportional to 394.29, 544.01 and 226.25 is: 312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.29 : 544.01 = 226.25 : x
  2. Step 2: Convert to fraction form
    394.29/544.01 = 226.25/x
  3. Step 3: Cross multiply
    394.29x = 544.01 × 226.25
  4. Step 4: Simplify right side
    394.29x = 123,082.26
  5. Step 5: Solve for x
    x = 123,082.26/394.29
  6. Step 6: Final answer
    x = 312.16

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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.