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Finding the Fourth Proportional to 200.60, 277.08 and 164.21

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Solution

The fourth proportional to 200.60, 277.08 and 164.21 is: 226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.60 : 277.08 = 164.21 : x
  2. Step 2: Convert to fraction form
    200.60/277.08 = 164.21/x
  3. Step 3: Cross multiply
    200.60x = 277.08 × 164.21
  4. Step 4: Simplify right side
    200.60x = 45,499.31
  5. Step 5: Solve for x
    x = 45,499.31/200.60
  6. Step 6: Final answer
    x = 226.82

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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.