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Finding the Fourth Proportional to 202.65, 279.57 and 119.78

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Solution

The fourth proportional to 202.65, 279.57 and 119.78 is: 165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.65 : 279.57 = 119.78 : x
  2. Step 2: Convert to fraction form
    202.65/279.57 = 119.78/x
  3. Step 3: Cross multiply
    202.65x = 279.57 × 119.78
  4. Step 4: Simplify right side
    202.65x = 33,486.89
  5. Step 5: Solve for x
    x = 33,486.89/202.65
  6. Step 6: Final answer
    x = 165.24

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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.