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Finding the Fourth Proportional to 855.87, 1,283.65 and 239.49

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Solution

The fourth proportional to 855.87, 1,283.65 and 239.49 is: 359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.87 : 1,283.65 = 239.49 : x
  2. Step 2: Convert to fraction form
    855.87/1,283.65 = 239.49/x
  3. Step 3: Cross multiply
    855.87x = 1,283.65 × 239.49
  4. Step 4: Simplify right side
    855.87x = 307,420.74
  5. Step 5: Solve for x
    x = 307,420.74/855.87
  6. Step 6: Final answer
    x = 359.19

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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.