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Finding the Fourth Proportional to 341.98, 471.90 and 194.61

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Solution

The fourth proportional to 341.98, 471.90 and 194.61 is: 268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.98 : 471.90 = 194.61 : x
  2. Step 2: Convert to fraction form
    341.98/471.90 = 194.61/x
  3. Step 3: Cross multiply
    341.98x = 471.90 × 194.61
  4. Step 4: Simplify right side
    341.98x = 91,835.42
  5. Step 5: Solve for x
    x = 91,835.42/341.98
  6. Step 6: Final answer
    x = 268.54

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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.