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Finding the Fourth Proportional to 230.71, 344.72 and 174.75

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Solution

The fourth proportional to 230.71, 344.72 and 174.75 is: 261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.71 : 344.72 = 174.75 : x
  2. Step 2: Convert to fraction form
    230.71/344.72 = 174.75/x
  3. Step 3: Cross multiply
    230.71x = 344.72 × 174.75
  4. Step 4: Simplify right side
    230.71x = 60,239.82
  5. Step 5: Solve for x
    x = 60,239.82/230.71
  6. Step 6: Final answer
    x = 261.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.