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Finding the Fourth Proportional to 257.76, 384.16 and 255.61

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Solution

The fourth proportional to 257.76, 384.16 and 255.61 is: 380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.76 : 384.16 = 255.61 : x
  2. Step 2: Convert to fraction form
    257.76/384.16 = 255.61/x
  3. Step 3: Cross multiply
    257.76x = 384.16 × 255.61
  4. Step 4: Simplify right side
    257.76x = 98,195.46
  5. Step 5: Solve for x
    x = 98,195.46/257.76
  6. Step 6: Final answer
    x = 380.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.