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Finding the Fourth Proportional to 202.25, 279.14 and 113.76

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Solution

The fourth proportional to 202.25, 279.14 and 113.76 is: 157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.25 : 279.14 = 113.76 : x
  2. Step 2: Convert to fraction form
    202.25/279.14 = 113.76/x
  3. Step 3: Cross multiply
    202.25x = 279.14 × 113.76
  4. Step 4: Simplify right side
    202.25x = 31,754.40
  5. Step 5: Solve for x
    x = 31,754.40/202.25
  6. Step 6: Final answer
    x = 157.01

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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.