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Finding the Fourth Proportional to 200.66, 277.56 and 167.85

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Solution

The fourth proportional to 200.66, 277.56 and 167.85 is: 232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.66 : 277.56 = 167.85 : x
  2. Step 2: Convert to fraction form
    200.66/277.56 = 167.85/x
  3. Step 3: Cross multiply
    200.66x = 277.56 × 167.85
  4. Step 4: Simplify right side
    200.66x = 46,588.45
  5. Step 5: Solve for x
    x = 46,588.45/200.66
  6. Step 6: Final answer
    x = 232.18

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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.