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Finding the Fourth Proportional to 200.74, 299.66 and 185.71

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Solution

The fourth proportional to 200.74, 299.66 and 185.71 is: 277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.74 : 299.66 = 185.71 : x
  2. Step 2: Convert to fraction form
    200.74/299.66 = 185.71/x
  3. Step 3: Cross multiply
    200.74x = 299.66 × 185.71
  4. Step 4: Simplify right side
    200.74x = 55,648.18
  5. Step 5: Solve for x
    x = 55,648.18/200.74
  6. Step 6: Final answer
    x = 277.22

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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.