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Finding the Fourth Proportional to 266.39, 399.66 and 189.50

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Solution

The fourth proportional to 266.39, 399.66 and 189.50 is: 284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.39 : 399.66 = 189.50 : x
  2. Step 2: Convert to fraction form
    266.39/399.66 = 189.50/x
  3. Step 3: Cross multiply
    266.39x = 399.66 × 189.50
  4. Step 4: Simplify right side
    266.39x = 75,735.57
  5. Step 5: Solve for x
    x = 75,735.57/266.39
  6. Step 6: Final answer
    x = 284.30

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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.