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Finding the Fourth Proportional to 167.13, 230.72 and 100.77

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Solution

The fourth proportional to 167.13, 230.72 and 100.77 is: 139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.13 : 230.72 = 100.77 : x
  2. Step 2: Convert to fraction form
    167.13/230.72 = 100.77/x
  3. Step 3: Cross multiply
    167.13x = 230.72 × 100.77
  4. Step 4: Simplify right side
    167.13x = 23,249.65
  5. Step 5: Solve for x
    x = 23,249.65/167.13
  6. Step 6: Final answer
    x = 139.11

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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.