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Finding the Fourth Proportional to 207.45, 309.20 and 185.81

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Solution

The fourth proportional to 207.45, 309.20 and 185.81 is: 276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.45 : 309.20 = 185.81 : x
  2. Step 2: Convert to fraction form
    207.45/309.20 = 185.81/x
  3. Step 3: Cross multiply
    207.45x = 309.20 × 185.81
  4. Step 4: Simplify right side
    207.45x = 57,449.98
  5. Step 5: Solve for x
    x = 57,449.98/207.45
  6. Step 6: Final answer
    x = 276.93

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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.