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Finding the Fourth Proportional to 202.92, 279.87 and 136.51

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Solution

The fourth proportional to 202.92, 279.87 and 136.51 is: 188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 279.87 = 136.51 : x
  2. Step 2: Convert to fraction form
    202.92/279.87 = 136.51/x
  3. Step 3: Cross multiply
    202.92x = 279.87 × 136.51
  4. Step 4: Simplify right side
    202.92x = 38,205.05
  5. Step 5: Solve for x
    x = 38,205.05/202.92
  6. Step 6: Final answer
    x = 188.28

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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.