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Finding the Fourth Proportional to 383.67, 575.90 and 178.40

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Solution

The fourth proportional to 383.67, 575.90 and 178.40 is: 267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.67 : 575.90 = 178.40 : x
  2. Step 2: Convert to fraction form
    383.67/575.90 = 178.40/x
  3. Step 3: Cross multiply
    383.67x = 575.90 × 178.40
  4. Step 4: Simplify right side
    383.67x = 102,740.56
  5. Step 5: Solve for x
    x = 102,740.56/383.67
  6. Step 6: Final answer
    x = 267.78

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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.