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Finding the Fourth Proportional to 167.83, 230.36 and 153.99

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Solution

The fourth proportional to 167.83, 230.36 and 153.99 is: 211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.83 : 230.36 = 153.99 : x
  2. Step 2: Convert to fraction form
    167.83/230.36 = 153.99/x
  3. Step 3: Cross multiply
    167.83x = 230.36 × 153.99
  4. Step 4: Simplify right side
    167.83x = 35,473.14
  5. Step 5: Solve for x
    x = 35,473.14/167.83
  6. Step 6: Final answer
    x = 211.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.