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Finding the Fourth Proportional to 202.11, 279.14 and 136.50

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Solution

The fourth proportional to 202.11, 279.14 and 136.50 is: 188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.11 : 279.14 = 136.50 : x
  2. Step 2: Convert to fraction form
    202.11/279.14 = 136.50/x
  3. Step 3: Cross multiply
    202.11x = 279.14 × 136.50
  4. Step 4: Simplify right side
    202.11x = 38,102.61
  5. Step 5: Solve for x
    x = 38,102.61/202.11
  6. Step 6: Final answer
    x = 188.52

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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.