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Finding the Fourth Proportional to 253.01, 349.16 and 142.49

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Solution

The fourth proportional to 253.01, 349.16 and 142.49 is: 196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.01 : 349.16 = 142.49 : x
  2. Step 2: Convert to fraction form
    253.01/349.16 = 142.49/x
  3. Step 3: Cross multiply
    253.01x = 349.16 × 142.49
  4. Step 4: Simplify right side
    253.01x = 49,750.66
  5. Step 5: Solve for x
    x = 49,750.66/253.01
  6. Step 6: Final answer
    x = 196.64

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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.