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Finding the Fourth Proportional to 226.63, 312.69 and 139.15

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Solution

The fourth proportional to 226.63, 312.69 and 139.15 is: 191.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.63 : 312.69 = 139.15 : x
  2. Step 2: Convert to fraction form
    226.63/312.69 = 139.15/x
  3. Step 3: Cross multiply
    226.63x = 312.69 × 139.15
  4. Step 4: Simplify right side
    226.63x = 43,510.81
  5. Step 5: Solve for x
    x = 43,510.81/226.63
  6. Step 6: Final answer
    x = 191.99

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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.