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Finding the Fourth Proportional to 284.93, 393.26 and 185.39

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Solution

The fourth proportional to 284.93, 393.26 and 185.39 is: 255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.93 : 393.26 = 185.39 : x
  2. Step 2: Convert to fraction form
    284.93/393.26 = 185.39/x
  3. Step 3: Cross multiply
    284.93x = 393.26 × 185.39
  4. Step 4: Simplify right side
    284.93x = 72,905.54
  5. Step 5: Solve for x
    x = 72,905.54/284.93
  6. Step 6: Final answer
    x = 255.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.