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Finding the Fourth Proportional to 284.57, 426.63 and 140.21

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Solution

The fourth proportional to 284.57, 426.63 and 140.21 is: 210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.57 : 426.63 = 140.21 : x
  2. Step 2: Convert to fraction form
    284.57/426.63 = 140.21/x
  3. Step 3: Cross multiply
    284.57x = 426.63 × 140.21
  4. Step 4: Simplify right side
    284.57x = 59,817.09
  5. Step 5: Solve for x
    x = 59,817.09/284.57
  6. Step 6: Final answer
    x = 210.20

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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.