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Finding the Fourth Proportional to 202.81, 279.17 and 186.88

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Solution

The fourth proportional to 202.81, 279.17 and 186.88 is: 257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.81 : 279.17 = 186.88 : x
  2. Step 2: Convert to fraction form
    202.81/279.17 = 186.88/x
  3. Step 3: Cross multiply
    202.81x = 279.17 × 186.88
  4. Step 4: Simplify right side
    202.81x = 52,170.36
  5. Step 5: Solve for x
    x = 52,170.36/202.81
  6. Step 6: Final answer
    x = 257.24

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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.