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Finding the Fourth Proportional to 375.05, 562.49 and 192.34

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Solution

The fourth proportional to 375.05, 562.49 and 192.34 is: 288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.05 : 562.49 = 192.34 : x
  2. Step 2: Convert to fraction form
    375.05/562.49 = 192.34/x
  3. Step 3: Cross multiply
    375.05x = 562.49 × 192.34
  4. Step 4: Simplify right side
    375.05x = 108,190.87
  5. Step 5: Solve for x
    x = 108,190.87/375.05
  6. Step 6: Final answer
    x = 288.47

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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.