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Finding the Fourth Proportional to 851.92, 1,278.12 and 304.08

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Solution

The fourth proportional to 851.92, 1,278.12 and 304.08 is: 456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.92 : 1,278.12 = 304.08 : x
  2. Step 2: Convert to fraction form
    851.92/1,278.12 = 304.08/x
  3. Step 3: Cross multiply
    851.92x = 1,278.12 × 304.08
  4. Step 4: Simplify right side
    851.92x = 388,650.73
  5. Step 5: Solve for x
    x = 388,650.73/851.92
  6. Step 6: Final answer
    x = 456.21

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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.