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Finding the Fourth Proportional to 395.54, 546.14 and 255.74

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Solution

The fourth proportional to 395.54, 546.14 and 255.74 is: 353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.54 : 546.14 = 255.74 : x
  2. Step 2: Convert to fraction form
    395.54/546.14 = 255.74/x
  3. Step 3: Cross multiply
    395.54x = 546.14 × 255.74
  4. Step 4: Simplify right side
    395.54x = 139,667.88
  5. Step 5: Solve for x
    x = 139,667.88/395.54
  6. Step 6: Final answer
    x = 353.10

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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.