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Finding the Fourth Proportional to 202.72, 279.57 and 136.40

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Solution

The fourth proportional to 202.72, 279.57 and 136.40 is: 188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.72 : 279.57 = 136.40 : x
  2. Step 2: Convert to fraction form
    202.72/279.57 = 136.40/x
  3. Step 3: Cross multiply
    202.72x = 279.57 × 136.40
  4. Step 4: Simplify right side
    202.72x = 38,133.35
  5. Step 5: Solve for x
    x = 38,133.35/202.72
  6. Step 6: Final answer
    x = 188.11

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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.