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Finding the Fourth Proportional to 415.95, 573.80 and 338.19

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Solution

The fourth proportional to 415.95, 573.80 and 338.19 is: 466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.95 : 573.80 = 338.19 : x
  2. Step 2: Convert to fraction form
    415.95/573.80 = 338.19/x
  3. Step 3: Cross multiply
    415.95x = 573.80 × 338.19
  4. Step 4: Simplify right side
    415.95x = 194,051.73
  5. Step 5: Solve for x
    x = 194,051.73/415.95
  6. Step 6: Final answer
    x = 466.53

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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.