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Finding the Fourth Proportional to 202.78, 279.83 and 115.46

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Solution

The fourth proportional to 202.78, 279.83 and 115.46 is: 159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.78 : 279.83 = 115.46 : x
  2. Step 2: Convert to fraction form
    202.78/279.83 = 115.46/x
  3. Step 3: Cross multiply
    202.78x = 279.83 × 115.46
  4. Step 4: Simplify right side
    202.78x = 32,309.11
  5. Step 5: Solve for x
    x = 32,309.11/202.78
  6. Step 6: Final answer
    x = 159.33

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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.