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Finding the Fourth Proportional to 266.60, 400.22 and 170.60

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Solution

The fourth proportional to 266.60, 400.22 and 170.60 is: 256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.60 : 400.22 = 170.60 : x
  2. Step 2: Convert to fraction form
    266.60/400.22 = 170.60/x
  3. Step 3: Cross multiply
    266.60x = 400.22 × 170.60
  4. Step 4: Simplify right side
    266.60x = 68,277.53
  5. Step 5: Solve for x
    x = 68,277.53/266.60
  6. Step 6: Final answer
    x = 256.10

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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.