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Finding the Fourth Proportional to 221.93, 306.46 and 139.18

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Solution

The fourth proportional to 221.93, 306.46 and 139.18 is: 192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.93 : 306.46 = 139.18 : x
  2. Step 2: Convert to fraction form
    221.93/306.46 = 139.18/x
  3. Step 3: Cross multiply
    221.93x = 306.46 × 139.18
  4. Step 4: Simplify right side
    221.93x = 42,653.87
  5. Step 5: Solve for x
    x = 42,653.87/221.93
  6. Step 6: Final answer
    x = 192.19

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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.