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Finding the Fourth Proportional to 255.56, 384.85 and 183.92

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Solution

The fourth proportional to 255.56, 384.85 and 183.92 is: 276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.56 : 384.85 = 183.92 : x
  2. Step 2: Convert to fraction form
    255.56/384.85 = 183.92/x
  3. Step 3: Cross multiply
    255.56x = 384.85 × 183.92
  4. Step 4: Simplify right side
    255.56x = 70,780.69
  5. Step 5: Solve for x
    x = 70,780.69/255.56
  6. Step 6: Final answer
    x = 276.96

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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.