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Finding the Fourth Proportional to 342.05, 472.03 and 186.80

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Solution

The fourth proportional to 342.05, 472.03 and 186.80 is: 257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.05 : 472.03 = 186.80 : x
  2. Step 2: Convert to fraction form
    342.05/472.03 = 186.80/x
  3. Step 3: Cross multiply
    342.05x = 472.03 × 186.80
  4. Step 4: Simplify right side
    342.05x = 88,175.20
  5. Step 5: Solve for x
    x = 88,175.20/342.05
  6. Step 6: Final answer
    x = 257.78

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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.