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Finding the Fourth Proportional to 200.70, 276.90 and 117.78

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Solution

The fourth proportional to 200.70, 276.90 and 117.78 is: 162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.70 : 276.90 = 117.78 : x
  2. Step 2: Convert to fraction form
    200.70/276.90 = 117.78/x
  3. Step 3: Cross multiply
    200.70x = 276.90 × 117.78
  4. Step 4: Simplify right side
    200.70x = 32,611.31
  5. Step 5: Solve for x
    x = 32,611.31/200.70
  6. Step 6: Final answer
    x = 162.49

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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.