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Finding the Fourth Proportional to 852.25, 1,278.38 and 339.61

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Solution

The fourth proportional to 852.25, 1,278.38 and 339.61 is: 509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.25 : 1,278.38 = 339.61 : x
  2. Step 2: Convert to fraction form
    852.25/1,278.38 = 339.61/x
  3. Step 3: Cross multiply
    852.25x = 1,278.38 × 339.61
  4. Step 4: Simplify right side
    852.25x = 434,148.93
  5. Step 5: Solve for x
    x = 434,148.93/852.25
  6. Step 6: Final answer
    x = 509.42

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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.