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Finding the Fourth Proportional to 185.94, 280.57 and 178.46

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Solution

The fourth proportional to 185.94, 280.57 and 178.46 is: 269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.94 : 280.57 = 178.46 : x
  2. Step 2: Convert to fraction form
    185.94/280.57 = 178.46/x
  3. Step 3: Cross multiply
    185.94x = 280.57 × 178.46
  4. Step 4: Simplify right side
    185.94x = 50,068.67
  5. Step 5: Solve for x
    x = 50,068.67/185.94
  6. Step 6: Final answer
    x = 269.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.