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Finding the Fourth Proportional to 253.02, 349.13 and 142.46

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Solution

The fourth proportional to 253.02, 349.13 and 142.46 is: 196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.02 : 349.13 = 142.46 : x
  2. Step 2: Convert to fraction form
    253.02/349.13 = 142.46/x
  3. Step 3: Cross multiply
    253.02x = 349.13 × 142.46
  4. Step 4: Simplify right side
    253.02x = 49,734.60
  5. Step 5: Solve for x
    x = 49,734.60/253.02
  6. Step 6: Final answer
    x = 196.56

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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.