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Finding the Fourth Proportional to 336.85, 504.10 and 255.31

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Solution

The fourth proportional to 336.85, 504.10 and 255.31 is: 382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.85 : 504.10 = 255.31 : x
  2. Step 2: Convert to fraction form
    336.85/504.10 = 255.31/x
  3. Step 3: Cross multiply
    336.85x = 504.10 × 255.31
  4. Step 4: Simplify right side
    336.85x = 128,701.77
  5. Step 5: Solve for x
    x = 128,701.77/336.85
  6. Step 6: Final answer
    x = 382.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.