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Finding the Fourth Proportional to 348.05, 477.76 and 307.83

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Solution

The fourth proportional to 348.05, 477.76 and 307.83 is: 422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.05 : 477.76 = 307.83 : x
  2. Step 2: Convert to fraction form
    348.05/477.76 = 307.83/x
  3. Step 3: Cross multiply
    348.05x = 477.76 × 307.83
  4. Step 4: Simplify right side
    348.05x = 147,067.32
  5. Step 5: Solve for x
    x = 147,067.32/348.05
  6. Step 6: Final answer
    x = 422.55

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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.