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Finding the Fourth Proportional to 410.38, 615.83 and 193.97

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Solution

The fourth proportional to 410.38, 615.83 and 193.97 is: 291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.38 : 615.83 = 193.97 : x
  2. Step 2: Convert to fraction form
    410.38/615.83 = 193.97/x
  3. Step 3: Cross multiply
    410.38x = 615.83 × 193.97
  4. Step 4: Simplify right side
    410.38x = 119,452.55
  5. Step 5: Solve for x
    x = 119,452.55/410.38
  6. Step 6: Final answer
    x = 291.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.