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Finding the Fourth Proportional to 310.86, 428.36 and 255.98

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Solution

The fourth proportional to 310.86, 428.36 and 255.98 is: 352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.86 : 428.36 = 255.98 : x
  2. Step 2: Convert to fraction form
    310.86/428.36 = 255.98/x
  3. Step 3: Cross multiply
    310.86x = 428.36 × 255.98
  4. Step 4: Simplify right side
    310.86x = 109,651.38
  5. Step 5: Solve for x
    x = 109,651.38/310.86
  6. Step 6: Final answer
    x = 352.74

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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.