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Finding the Fourth Proportional to 348.11, 476.72 and 343.55

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Solution

The fourth proportional to 348.11, 476.72 and 343.55 is: 470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.11 : 476.72 = 343.55 : x
  2. Step 2: Convert to fraction form
    348.11/476.72 = 343.55/x
  3. Step 3: Cross multiply
    348.11x = 476.72 × 343.55
  4. Step 4: Simplify right side
    348.11x = 163,777.92
  5. Step 5: Solve for x
    x = 163,777.92/348.11
  6. Step 6: Final answer
    x = 470.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.