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Finding the Fourth Proportional to 255.66, 354.44 and 252.02

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Solution

The fourth proportional to 255.66, 354.44 and 252.02 is: 349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.66 : 354.44 = 252.02 : x
  2. Step 2: Convert to fraction form
    255.66/354.44 = 252.02/x
  3. Step 3: Cross multiply
    255.66x = 354.44 × 252.02
  4. Step 4: Simplify right side
    255.66x = 89,322.94
  5. Step 5: Solve for x
    x = 89,322.94/255.66
  6. Step 6: Final answer
    x = 349.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.