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Finding the Fourth Proportional to 341.41, 467.87 and 308.61

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Solution

The fourth proportional to 341.41, 467.87 and 308.61 is: 422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.41 : 467.87 = 308.61 : x
  2. Step 2: Convert to fraction form
    341.41/467.87 = 308.61/x
  3. Step 3: Cross multiply
    341.41x = 467.87 × 308.61
  4. Step 4: Simplify right side
    341.41x = 144,385.48
  5. Step 5: Solve for x
    x = 144,385.48/341.41
  6. Step 6: Final answer
    x = 422.91

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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.