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Finding the Fourth Proportional to 202.64, 279.38 and 187

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Solution

The fourth proportional to 202.64, 279.38 and 187 is: 257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.64 : 279.38 = 187 : x
  2. Step 2: Convert to fraction form
    202.64/279.38 = 187/x
  3. Step 3: Cross multiply
    202.64x = 279.38 × 187
  4. Step 4: Simplify right side
    202.64x = 52,244.06
  5. Step 5: Solve for x
    x = 52,244.06/202.64
  6. Step 6: Final answer
    x = 257.82

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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.