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Finding the Fourth Proportional to 289.44, 433.57 and 228.39

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Solution

The fourth proportional to 289.44, 433.57 and 228.39 is: 342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.44 : 433.57 = 228.39 : x
  2. Step 2: Convert to fraction form
    289.44/433.57 = 228.39/x
  3. Step 3: Cross multiply
    289.44x = 433.57 × 228.39
  4. Step 4: Simplify right side
    289.44x = 99,023.05
  5. Step 5: Solve for x
    x = 99,023.05/289.44
  6. Step 6: Final answer
    x = 342.12

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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.