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Finding the Fourth Proportional to 202.16, 278.97 and 113.65

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Solution

The fourth proportional to 202.16, 278.97 and 113.65 is: 156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.16 : 278.97 = 113.65 : x
  2. Step 2: Convert to fraction form
    202.16/278.97 = 113.65/x
  3. Step 3: Cross multiply
    202.16x = 278.97 × 113.65
  4. Step 4: Simplify right side
    202.16x = 31,704.94
  5. Step 5: Solve for x
    x = 31,704.94/202.16
  6. Step 6: Final answer
    x = 156.83

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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.