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Finding the Fourth Proportional to 202.68, 279.61 and 119.75

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Solution

The fourth proportional to 202.68, 279.61 and 119.75 is: 165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.68 : 279.61 = 119.75 : x
  2. Step 2: Convert to fraction form
    202.68/279.61 = 119.75/x
  3. Step 3: Cross multiply
    202.68x = 279.61 × 119.75
  4. Step 4: Simplify right side
    202.68x = 33,484.00
  5. Step 5: Solve for x
    x = 33,484.00/202.68
  6. Step 6: Final answer
    x = 165.21

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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.