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Finding the Fourth Proportional to 253.08, 349.22 and 142.55

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Solution

The fourth proportional to 253.08, 349.22 and 142.55 is: 196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.08 : 349.22 = 142.55 : x
  2. Step 2: Convert to fraction form
    253.08/349.22 = 142.55/x
  3. Step 3: Cross multiply
    253.08x = 349.22 × 142.55
  4. Step 4: Simplify right side
    253.08x = 49,778.85
  5. Step 5: Solve for x
    x = 49,778.85/253.08
  6. Step 6: Final answer
    x = 196.69

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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.