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Finding the Fourth Proportional to 264.59, 395.31 and 255.50

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Solution

The fourth proportional to 264.59, 395.31 and 255.50 is: 381.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.59 : 395.31 = 255.50 : x
  2. Step 2: Convert to fraction form
    264.59/395.31 = 255.50/x
  3. Step 3: Cross multiply
    264.59x = 395.31 × 255.50
  4. Step 4: Simplify right side
    264.59x = 101,000.43
  5. Step 5: Solve for x
    x = 101,000.43/264.59
  6. Step 6: Final answer
    x = 381.72

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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.