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Finding the Fourth Proportional to 394.10, 590.74 and 231.29

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Solution

The fourth proportional to 394.10, 590.74 and 231.29 is: 346.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.10 : 590.74 = 231.29 : x
  2. Step 2: Convert to fraction form
    394.10/590.74 = 231.29/x
  3. Step 3: Cross multiply
    394.10x = 590.74 × 231.29
  4. Step 4: Simplify right side
    394.10x = 136,628.72
  5. Step 5: Solve for x
    x = 136,628.72/394.10
  6. Step 6: Final answer
    x = 346.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.