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Finding the Fourth Proportional to 221.99, 306.34 and 139.14

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Solution

The fourth proportional to 221.99, 306.34 and 139.14 is: 192.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.99 : 306.34 = 139.14 : x
  2. Step 2: Convert to fraction form
    221.99/306.34 = 139.14/x
  3. Step 3: Cross multiply
    221.99x = 306.34 × 139.14
  4. Step 4: Simplify right side
    221.99x = 42,623.03
  5. Step 5: Solve for x
    x = 42,623.03/221.99
  6. Step 6: Final answer
    x = 192.01

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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.