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Finding the Fourth Proportional to 226.47, 312.39 and 171.42

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Solution

The fourth proportional to 226.47, 312.39 and 171.42 is: 236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.47 : 312.39 = 171.42 : x
  2. Step 2: Convert to fraction form
    226.47/312.39 = 171.42/x
  3. Step 3: Cross multiply
    226.47x = 312.39 × 171.42
  4. Step 4: Simplify right side
    226.47x = 53,549.89
  5. Step 5: Solve for x
    x = 53,549.89/226.47
  6. Step 6: Final answer
    x = 236.45

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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.