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Finding the Fourth Proportional to 855.86, 1,283.78 and 239.55

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Solution

The fourth proportional to 855.86, 1,283.78 and 239.55 is: 359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.86 : 1,283.78 = 239.55 : x
  2. Step 2: Convert to fraction form
    855.86/1,283.78 = 239.55/x
  3. Step 3: Cross multiply
    855.86x = 1,283.78 × 239.55
  4. Step 4: Simplify right side
    855.86x = 307,528.30
  5. Step 5: Solve for x
    x = 307,528.30/855.86
  6. Step 6: Final answer
    x = 359.32

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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.