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Finding the Fourth Proportional to 348.62, 477.53 and 344.17

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Solution

The fourth proportional to 348.62, 477.53 and 344.17 is: 471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.62 : 477.53 = 344.17 : x
  2. Step 2: Convert to fraction form
    348.62/477.53 = 344.17/x
  3. Step 3: Cross multiply
    348.62x = 477.53 × 344.17
  4. Step 4: Simplify right side
    348.62x = 164,351.50
  5. Step 5: Solve for x
    x = 164,351.50/348.62
  6. Step 6: Final answer
    x = 471.43

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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.