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Finding the Fourth Proportional to 369.25, 509.31 and 255.74

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Solution

The fourth proportional to 369.25, 509.31 and 255.74 is: 352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.25 : 509.31 = 255.74 : x
  2. Step 2: Convert to fraction form
    369.25/509.31 = 255.74/x
  3. Step 3: Cross multiply
    369.25x = 509.31 × 255.74
  4. Step 4: Simplify right side
    369.25x = 130,247.11
  5. Step 5: Solve for x
    x = 130,247.11/369.25
  6. Step 6: Final answer
    x = 352.73

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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.