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Finding the Fourth Proportional to 266.10, 399.69 and 169.98

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Solution

The fourth proportional to 266.10, 399.69 and 169.98 is: 255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.10 : 399.69 = 169.98 : x
  2. Step 2: Convert to fraction form
    266.10/399.69 = 169.98/x
  3. Step 3: Cross multiply
    266.10x = 399.69 × 169.98
  4. Step 4: Simplify right side
    266.10x = 67,939.31
  5. Step 5: Solve for x
    x = 67,939.31/266.10
  6. Step 6: Final answer
    x = 255.31

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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.