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Finding the Fourth Proportional to 253.47, 349.78 and 142.96

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Solution

The fourth proportional to 253.47, 349.78 and 142.96 is: 197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.47 : 349.78 = 142.96 : x
  2. Step 2: Convert to fraction form
    253.47/349.78 = 142.96/x
  3. Step 3: Cross multiply
    253.47x = 349.78 × 142.96
  4. Step 4: Simplify right side
    253.47x = 50,004.55
  5. Step 5: Solve for x
    x = 50,004.55/253.47
  6. Step 6: Final answer
    x = 197.28

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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.