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Finding the Fourth Proportional to 253.45, 349.78 and 142.95

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Solution

The fourth proportional to 253.45, 349.78 and 142.95 is: 197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.45 : 349.78 = 142.95 : x
  2. Step 2: Convert to fraction form
    253.45/349.78 = 142.95/x
  3. Step 3: Cross multiply
    253.45x = 349.78 × 142.95
  4. Step 4: Simplify right side
    253.45x = 50,001.05
  5. Step 5: Solve for x
    x = 50,001.05/253.45
  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.