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Finding the Fourth Proportional to 207.06, 309.48 and 133.62

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Solution

The fourth proportional to 207.06, 309.48 and 133.62 is: 199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.06 : 309.48 = 133.62 : x
  2. Step 2: Convert to fraction form
    207.06/309.48 = 133.62/x
  3. Step 3: Cross multiply
    207.06x = 309.48 × 133.62
  4. Step 4: Simplify right side
    207.06x = 41,352.72
  5. Step 5: Solve for x
    x = 41,352.72/207.06
  6. Step 6: Final answer
    x = 199.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.