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Finding the Fourth Proportional to 255.04, 352.32 and 225.76

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Solution

The fourth proportional to 255.04, 352.32 and 225.76 is: 311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.04 : 352.32 = 225.76 : x
  2. Step 2: Convert to fraction form
    255.04/352.32 = 225.76/x
  3. Step 3: Cross multiply
    255.04x = 352.32 × 225.76
  4. Step 4: Simplify right side
    255.04x = 79,539.76
  5. Step 5: Solve for x
    x = 79,539.76/255.04
  6. Step 6: Final answer
    x = 311.87

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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.