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Finding the Fourth Proportional to 251.92, 345.64 and 239.68

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Solution

The fourth proportional to 251.92, 345.64 and 239.68 is: 328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.92 : 345.64 = 239.68 : x
  2. Step 2: Convert to fraction form
    251.92/345.64 = 239.68/x
  3. Step 3: Cross multiply
    251.92x = 345.64 × 239.68
  4. Step 4: Simplify right side
    251.92x = 82,843.00
  5. Step 5: Solve for x
    x = 82,843.00/251.92
  6. Step 6: Final answer
    x = 328.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.