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Finding the Fourth Proportional to 351.91, 528.14 and 230.14

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Solution

The fourth proportional to 351.91, 528.14 and 230.14 is: 345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.91 : 528.14 = 230.14 : x
  2. Step 2: Convert to fraction form
    351.91/528.14 = 230.14/x
  3. Step 3: Cross multiply
    351.91x = 528.14 × 230.14
  4. Step 4: Simplify right side
    351.91x = 121,546.14
  5. Step 5: Solve for x
    x = 121,546.14/351.91
  6. Step 6: Final answer
    x = 345.39

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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.