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Finding the Fourth Proportional to 167.45, 231.10 and 139.77

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Solution

The fourth proportional to 167.45, 231.10 and 139.77 is: 192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.45 : 231.10 = 139.77 : x
  2. Step 2: Convert to fraction form
    167.45/231.10 = 139.77/x
  3. Step 3: Cross multiply
    167.45x = 231.10 × 139.77
  4. Step 4: Simplify right side
    167.45x = 32,300.50
  5. Step 5: Solve for x
    x = 32,300.50/167.45
  6. Step 6: Final answer
    x = 192.90

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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.