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Finding the Fourth Proportional to 201.80, 277.62 and 167.24

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Solution

The fourth proportional to 201.80, 277.62 and 167.24 is: 230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.80 : 277.62 = 167.24 : x
  2. Step 2: Convert to fraction form
    201.80/277.62 = 167.24/x
  3. Step 3: Cross multiply
    201.80x = 277.62 × 167.24
  4. Step 4: Simplify right side
    201.80x = 46,429.17
  5. Step 5: Solve for x
    x = 46,429.17/201.80
  6. Step 6: Final answer
    x = 230.08

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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.