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Finding the Fourth Proportional to 266.74, 399.48 and 170.26

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Solution

The fourth proportional to 266.74, 399.48 and 170.26 is: 254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.74 : 399.48 = 170.26 : x
  2. Step 2: Convert to fraction form
    266.74/399.48 = 170.26/x
  3. Step 3: Cross multiply
    266.74x = 399.48 × 170.26
  4. Step 4: Simplify right side
    266.74x = 68,015.46
  5. Step 5: Solve for x
    x = 68,015.46/266.74
  6. Step 6: Final answer
    x = 254.99

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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.