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Finding the Fourth Proportional to 433.64, 650.24 and 214.28

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Solution

The fourth proportional to 433.64, 650.24 and 214.28 is: 321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.64 : 650.24 = 214.28 : x
  2. Step 2: Convert to fraction form
    433.64/650.24 = 214.28/x
  3. Step 3: Cross multiply
    433.64x = 650.24 × 214.28
  4. Step 4: Simplify right side
    433.64x = 139,329.10
  5. Step 5: Solve for x
    x = 139,329.10/433.64
  6. Step 6: Final answer
    x = 321.31

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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.