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Finding the Fourth Proportional to 230.69, 346.23 and 165.89

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Solution

The fourth proportional to 230.69, 346.23 and 165.89 is: 248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.69 : 346.23 = 165.89 : x
  2. Step 2: Convert to fraction form
    230.69/346.23 = 165.89/x
  3. Step 3: Cross multiply
    230.69x = 346.23 × 165.89
  4. Step 4: Simplify right side
    230.69x = 57,434.36
  5. Step 5: Solve for x
    x = 57,434.36/230.69
  6. Step 6: Final answer
    x = 248.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.