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Finding the Fourth Proportional to 383.78, 574.87 and 178.53

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Solution

The fourth proportional to 383.78, 574.87 and 178.53 is: 267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.78 : 574.87 = 178.53 : x
  2. Step 2: Convert to fraction form
    383.78/574.87 = 178.53/x
  3. Step 3: Cross multiply
    383.78x = 574.87 × 178.53
  4. Step 4: Simplify right side
    383.78x = 102,628.67
  5. Step 5: Solve for x
    x = 102,628.67/383.78
  6. Step 6: Final answer
    x = 267.42

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Why These Related Problems?

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