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Finding the Fourth Proportional to 383.60, 575.58 and 178.28

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Solution

The fourth proportional to 383.60, 575.58 and 178.28 is: 267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.60 : 575.58 = 178.28 : x
  2. Step 2: Convert to fraction form
    383.60/575.58 = 178.28/x
  3. Step 3: Cross multiply
    383.60x = 575.58 × 178.28
  4. Step 4: Simplify right side
    383.60x = 102,614.40
  5. Step 5: Solve for x
    x = 102,614.40/383.60
  6. Step 6: Final answer
    x = 267.50

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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.