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Finding the Fourth Proportional to 375.69, 562.57 and 230.97

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Solution

The fourth proportional to 375.69, 562.57 and 230.97 is: 345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.69 : 562.57 = 230.97 : x
  2. Step 2: Convert to fraction form
    375.69/562.57 = 230.97/x
  3. Step 3: Cross multiply
    375.69x = 562.57 × 230.97
  4. Step 4: Simplify right side
    375.69x = 129,936.79
  5. Step 5: Solve for x
    x = 129,936.79/375.69
  6. Step 6: Final answer
    x = 345.86

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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.