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Finding the Fourth Proportional to 343.09, 473.55 and 195.77

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Solution

The fourth proportional to 343.09, 473.55 and 195.77 is: 270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.09 : 473.55 = 195.77 : x
  2. Step 2: Convert to fraction form
    343.09/473.55 = 195.77/x
  3. Step 3: Cross multiply
    343.09x = 473.55 × 195.77
  4. Step 4: Simplify right side
    343.09x = 92,704.67
  5. Step 5: Solve for x
    x = 92,704.67/343.09
  6. Step 6: Final answer
    x = 270.21

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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.