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Finding the Fourth Proportional to 226.89, 312.98 and 148.23

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Solution

The fourth proportional to 226.89, 312.98 and 148.23 is: 204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.89 : 312.98 = 148.23 : x
  2. Step 2: Convert to fraction form
    226.89/312.98 = 148.23/x
  3. Step 3: Cross multiply
    226.89x = 312.98 × 148.23
  4. Step 4: Simplify right side
    226.89x = 46,392.28
  5. Step 5: Solve for x
    x = 46,392.28/226.89
  6. Step 6: Final answer
    x = 204.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.