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Finding the Fourth Proportional to 433.56, 650.21 and 228.02

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Solution

The fourth proportional to 433.56, 650.21 and 228.02 is: 341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.56 : 650.21 = 228.02 : x
  2. Step 2: Convert to fraction form
    433.56/650.21 = 228.02/x
  3. Step 3: Cross multiply
    433.56x = 650.21 × 228.02
  4. Step 4: Simplify right side
    433.56x = 148,256.49
  5. Step 5: Solve for x
    x = 148,256.49/433.56
  6. Step 6: Final answer
    x = 341.95

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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.