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Finding the Fourth Proportional to 200.90, 277.53 and 149.78

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Solution

The fourth proportional to 200.90, 277.53 and 149.78 is: 206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.90 : 277.53 = 149.78 : x
  2. Step 2: Convert to fraction form
    200.90/277.53 = 149.78/x
  3. Step 3: Cross multiply
    200.90x = 277.53 × 149.78
  4. Step 4: Simplify right side
    200.90x = 41,568.44
  5. Step 5: Solve for x
    x = 41,568.44/200.90
  6. Step 6: Final answer
    x = 206.91

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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.