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Finding the Fourth Proportional to 284.26, 426.57 and 266.62

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Solution

The fourth proportional to 284.26, 426.57 and 266.62 is: 400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.26 : 426.57 = 266.62 : x
  2. Step 2: Convert to fraction form
    284.26/426.57 = 266.62/x
  3. Step 3: Cross multiply
    284.26x = 426.57 × 266.62
  4. Step 4: Simplify right side
    284.26x = 113,732.09
  5. Step 5: Solve for x
    x = 113,732.09/284.26
  6. Step 6: Final answer
    x = 400.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.