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Finding the Fourth Proportional to 433.40, 650.08 and 189.84

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Solution

The fourth proportional to 433.40, 650.08 and 189.84 is: 284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.40 : 650.08 = 189.84 : x
  2. Step 2: Convert to fraction form
    433.40/650.08 = 189.84/x
  3. Step 3: Cross multiply
    433.40x = 650.08 × 189.84
  4. Step 4: Simplify right side
    433.40x = 123,412.79
  5. Step 5: Solve for x
    x = 123,412.79/433.40
  6. Step 6: Final answer
    x = 284.75

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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.